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Journal articles on the topic 'Lie pseudo-group'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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1

Fischer, Véronique. "Intrinsic pseudo-differential calculi on any compact Lie group." Journal of Functional Analysis 268, no. 11 (2015): 3404–77. http://dx.doi.org/10.1016/j.jfa.2015.03.015.

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2

Olver, Peter J., and Juha Pohjanpelto. "Moving Frames for Lie Pseudo–Groups." Canadian Journal of Mathematics 60, no. 6 (2008): 1336–86. http://dx.doi.org/10.4153/cjm-2008-057-0.

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AbstractWe propose a new, constructive theory of moving frames for Lie pseudo-group actions on submanifolds. Themoving frame provides an effectivemeans for determining complete systems of differential invariants and invariant differential forms, classifying their syzygies and recurrence relations, and solving equivalence and symmetry problems arising in a broad range of applications.

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3

Biggs, Rory, and Claudiu C. Remsing. "Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0." Analele Universitatii "Ovidius" Constanta - Seria Matematica 24, no. 2 (2016): 45–65. http://dx.doi.org/10.1515/auom-2016-0027.

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AbstractWe consider left-invariant control affine systems on the matrix Lie group SO (2, 1)0. A classification, under state space equivalence, of all such full-rank control systems is obtained. First, we identify certain subsets on which the group of Lie algebra automorphisms act transitively. We then systematically identify equivalence class representatives (for single-input, two-input and three-input control systems). A brief comparison of these classification results with existing results concludes the paper.

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4

Fels, Gregor. "Pseudo-K�hlerian structure on domains over a complex semisimple Lie group." Mathematische Annalen 323, no. 1 (2002): 1–29. http://dx.doi.org/10.1007/s002089900058.

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5

MAGNOT, JEAN-PIERRE. "AMBROSE–SINGER THEOREM ON DIFFEOLOGICAL BUNDLES AND COMPLETE INTEGRABILITY OF THE KP EQUATION." International Journal of Geometric Methods in Modern Physics 10, no. 09 (2013): 1350043. http://dx.doi.org/10.1142/s0219887813500436.

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In this paper, we start from an extension of the notion of holonomy on diffeological bundles, reformulate the notion of regular Lie group or Frölicher Lie groups, state an Ambrose–Singer theorem that enlarges the one stated in [J.-P. Magnot, Structure groups and holonomy in infinite dimensions, Bull. Sci. Math.128 (2004) 513–529], and conclude with a differential geometric treatment of KP hierarchy. The examples of Lie groups that are studied are principally those obtained by enlarging some graded Frölicher (Lie) algebras such as formal q-series of the quantum algebra of pseudo-differential op

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6

IVAN, MIHAI, GHEORGHE IVAN, and DUMITRU OPRIŞ. "FRACTIONAL EQUATIONS OF THE RIGID BODY ON THE PSEUDO-ORTHOGONAL GROUP SO(2,1)." International Journal of Geometric Methods in Modern Physics 06, no. 07 (2009): 1181–92. http://dx.doi.org/10.1142/s0219887809004168.

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7

Lim, Meng Fai. "On the pseudo-nullity of the dual fine Selmer groups." International Journal of Number Theory 11, no. 07 (2015): 2055–63. http://dx.doi.org/10.1142/s1793042115500888.

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In this paper, we will study the pseudo-nullity of the dual fine Selmer group and its related question. We investigate certain situations, where one can deduce the pseudo-nullity of the dual fine Selmer group of a general Galois module over an admissible p-adic Lie extension F∞ from the knowledge of the pseudo-nullity of the Galois group of the maximal abelian unramified pro-p extension of F∞ at which every prime of F∞ above p splits completely. In particular, this gives us a way to construct examples of the pseudo-nullity of the dual fine Selmer group of a Galois module that is unramified out

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8

Liu, Yonghong. "Lie Algebras with BCL Algebras." European Journal of Pure and Applied Mathematics 11, no. 2 (2018): 444–48. http://dx.doi.org/10.29020/nybg.ejpam.v11i2.3219.

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The subject matter of this work is hoping for a new relationship between the Lie algebras and the algebra of logic, which will constitute an important part of our study of "pure'' algebra theory. $BCL$ algebras as a class of logical algebras is can be generated by a Lie algebra. The opposite is also true that when special conditions occur. The aim of this paper is to prove several theorems on Lie algebras with $BCL$ algebras. I introduce the notion of a "pseudo-association'' which I propose as the adjoint notion of $BCL$ algebra in the abelian group.

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9

Karabegov, A. V. "Strict deformation quantization on a pseudo-Kähler orbit of a compact Lie group." Functional Analysis and Its Applications 32, no. 1 (1998): 51–53. http://dx.doi.org/10.1007/bf02465758.

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10

Gribachev, Kostadin, and Mancho Manev. "Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure." Journal of Geometry 88, no. 1-2 (2008): 41–52. http://dx.doi.org/10.1007/s00022-007-1947-2.

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11

Carmona Jiménez, José Luis, and Marco Castrillón López. "Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers." Axioms 9, no. 3 (2020): 94. http://dx.doi.org/10.3390/axioms9030094.

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We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect pseudo-Kähler homogeneous structures with almost contact metric homogeneous structures. This relation will have consequences in the class of the almost contact manifold. Indeed, if we choose a pseudo-Kähler homogeneous structure of linear type, then the reduced, almost contact homogeneous structure is of linear type and the reduced manifold is

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12

Rosales-Ortega, Jose. "Foliation by G-orbits." Boletim da Sociedade Paranaense de Matemática 33, no. 2 (2014): 79–87. http://dx.doi.org/10.5269/bspm.v33i2.19628.

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We study the properties of the normal bundle defined by the bundle of the G-orbits of the action of a semisimple Lie group G on a pseudo Riemannian manifold M, as a consequence we obtain that the foliation induced by the normal bundle is integrable and totally geodesic.

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13

Bettiol, Renato G., Paolo Piccione, and Gaetano Siciliano. "On the Equivariant Implicit Function Theorem with Low Regularity and Applications to Geometric Variational Problems." Proceedings of the Edinburgh Mathematical Society 58, no. 1 (2014): 53–80. http://dx.doi.org/10.1017/s0013091513000631.

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AbstractWe prove an implicit function theorem for functions on infinite-dimensional Banach manifolds, invariant under the (local) action of a finite-dimensional Lie group. Motivated by some geometric variational problems, we consider group actions that are not necessarily differentiable everywhere, but only on some dense subset. Applications are discussed in the context of harmonic maps, closed (pseudo-) Riemannian geodesics and constant mean curvature hypersurfaces.

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14

Marle, Charles-Michel. "Examples of Gibbs States of Mechanical Systems with Symmetries." Journal of Geometry and Symmetry in Physics 58 (2020): 55–79. http://dx.doi.org/10.7546/jgsp-58-2020-55-79.

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In a previous paper, the notion of Gibbs state for the Hamiltonian action of a Lie group on a symplectic manifold was given, together with its applications in Statistical Mechanics, and the works in this field of the French mathematician and physicist Jean-Marie Souriau were presented. Using an adaptation of the cross product for pseudo-Euclidean three-dimensional vector spaces, we present several examples of such Gibbs states, together with the associated thermodynamic functions, for various two-dimensional symplectic manifolds, including the pseudo-spheres, the Poincar{\'e} disk and the Poin

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15

Legaré, M. "Self-Dual Yang–Mills Equations and Integrable Reductions." International Journal of Modern Physics A 12, no. 01 (1997): 219–24. http://dx.doi.org/10.1142/s0217751x97000311.

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The self-dual Yang-Mills equations and their corresponding Lax pair (or linear system) in R4, endowed with Euclidean metric or the pseudo-Euclidean metric of signature (2, 2), have integrable reductions under subgroups of their invariance group. The general method is reviewed and generalized to Yang-Mills fields with values in Lie superalgebras. An example of such reductions is presented.

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16

NOTBOHM, D. "Spaces with polynomial mod-p cohomology." Mathematical Proceedings of the Cambridge Philosophical Society 126, no. 2 (1999): 277–92. http://dx.doi.org/10.1017/s0305004198003284.

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In the early seventies, Steenrod posed the question: which polynomial algebras over the Steenrod algebra appear as the cohomology ring of a topological space? For odd primes, work of Adams and Wilkerson and Dwyer, Miller and Wilkerson showed that all such algebras are given as the mod-p reduction of the invariants of a pseudo reflection group acting on a polynomial algebra over the p-adic integers. We show that this necessary condition is also sufficient for finding a realization of such a polynomial algebra. We also show that, up to completion, every space with polynomial mod-p cohomology is

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17

Delgado, Julio, and Michael Ruzhansky. "-BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS." Journal of the Institute of Mathematics of Jussieu 18, no. 3 (2017): 531–59. http://dx.doi.org/10.1017/s1474748017000123.

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Given a compact Lie group$G$, in this paper we establish$L^{p}$-bounds for pseudo-differential operators in$L^{p}(G)$. The criteria here are given in terms of the concept of matrix symbols defined on the noncommutative analogue of the phase space$G\times \widehat{G}$, where$\widehat{G}$is the unitary dual of$G$. We obtain two different types of$L^{p}$bounds: first for finite regularity symbols and second for smooth symbols. The conditions for smooth symbols are formulated using$\mathscr{S}_{\unicode[STIX]{x1D70C},\unicode[STIX]{x1D6FF}}^{m}(G)$classes which are a suitable extension of the well

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18

LI, HAISHENG. "A SMASH PRODUCT CONSTRUCTION OF NONLOCAL VERTEX ALGEBRAS." Communications in Contemporary Mathematics 09, no. 05 (2007): 605–37. http://dx.doi.org/10.1142/s0219199707002605.

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A notion of vertex bialgebra and a notion of nonlocal vertex module-algebra for a vertex bialgebra are studied and then a smash product construction of nonlocal vertex algebras is presented. For every nonlocal vertex algebra V satisfying a suitable condition, a canonical bialgebra B(V) is constructed such that primitive elements of B(V) are essentially pseudo-derivations and group-like elements are essentially pseudo-endomorphisms. As an application, vertex algebras associated with the Heisenberg Lie algebras as well as those associated with the nondegenerate even lattices are reconstructed th

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19

De Gregorio, Alessandro. "On the set of optimal homeomorphisms for the natural pseudo-distance associated with the Lie group S 1." Topology and its Applications 229 (September 2017): 187–95. http://dx.doi.org/10.1016/j.topol.2017.07.012.

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20

BOUARROUDJ, SOFIANE. "PROJECTIVE AND CONFORMAL SCHWARZIAN DERIVATIVES AND COHOMOLOGY OF LIE ALGEBRAS VECTOR FIELDS RELATED TO DIFFERENTIAL OPERATORS." International Journal of Geometric Methods in Modern Physics 03, no. 04 (2006): 667–96. http://dx.doi.org/10.1142/s0219887806001338.

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Let M be either a projective manifold (M, Π) or a pseudo-Riemannian manifold (M, g). We extend, intrinsically, the projective/conformal Schwarzian derivatives we have introduced recently, to the space of differential operators acting on symmetric contravariant tensor fields of any degree on M. As operators, we show that the projective/conformal Schwarzian derivatives depend only on the projective connection Π and the conformal class of the metric [g], respectively. Furthermore, we compute the first cohomology group of Vect(M) with coefficients in the space of symmetric contravariant tensor fie

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21

Xiang, Xiaojia, Lizhen Wu, Lincheng Shen, and Jie Li. "Geometric Collocation Method on SO(3) with Application to Optimal Attitude Control of a 3D Rotating Rigid Body." Mathematical Problems in Engineering 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/790409.

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The collocation method is extended to the special orthogonal group SO(3) with application to optimal attitude control (OAC) of a rigid body. A left-invariant rigid-body attitude dynamical model on SO(3) is established. For the left invariance of the attitude configuration equation in body-fixed frame, a geometrically exact numerical method on SO(3), referred to as the geometric collocation method, is proposed by deriving the equivalent Lie algebra equation inso(3)of the left-invariant configuration equation. When compared with the general Gauss pseudo-spectral method, the explicit RKMK, and Li

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22

Vylegzhanin, D. V., P. N. Klepikov, and O. P. Khromova. "Eigenvalues of the Ricci Operator on Four-Dimensional Locally Homogeneous (Pseudo)Riemannian Manifolds with a Four-Dimensional Isotropy Subgroup." Izvestiya of Altai State University, no. 1(117) (March 17, 2021): 93–96. http://dx.doi.org/10.14258/izvasu(2021)1-15.

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The problem of restoring a (pseudo)Riemannian manifold from a given Ricci operator was studied in the papers of many mathematicians. This problem was solved by O. Kowalski and S. Nikcevic for the case of three-dimensional locally homogeneous Riemannian manifolds. The work of G. Calvaruso and O. Kowalski contains the answer to the question above for the case of three –dimensional locally homogeneous Lorentzian manifolds. For the four-dimensional case, similar studies were carried out only in the case of Lie groups with a left-invariant Riemannian metric. The works of A.G. Kremlyov and Yu.

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23

Holtby, Andrew S., and William T. A. Harrison. "2-Hydroxypropane-1,3-diammonium bis(phosphonato)zincate(II) hemihydrate." Acta Crystallographica Section E Structure Reports Online 63, no. 11 (2007): m2779. http://dx.doi.org/10.1107/s1600536807051197.

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In the title compound, (C3H12N2O)[Zn(HPO3)2]·0.5H2O, the inorganic macroanionic chain is built up from ZnO4 tetrahedra and HPO3 pseudo-pyramids sharing vertices. The organic dication shows positional disorder of its central –OH group in a 0.614 (7):0.386 (7) ratio. The components interact by way of O—H...O and N—H...O hydrogen bonds. The Zn atom lies on a crystallographic twofold axis and one C atom, the disordered O atoms of the –OH groups and the water O atom lie on a crystallographic mirror plane.

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24

Andreeva, T. A., V. V. Balashchenko, D. N. Oskorbin, and E. D. Rodionov. "Conformally Killing Fields on 2-Symmetric Five-Dimensional Lorentzian Manifolds." Izvestiya of Altai State University, no. 1(117) (March 17, 2021): 68–71. http://dx.doi.org/10.14258/izvasu(2021)1-11.

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The papers of many mathematicians are devoted to the study of conformally Killing vector fields. Being a natural generalization of the concept of Killing vector fields, these fields generate a Lie algebra corresponding to the Lie group of conformal transformations of the manifold. Moreover, they generate the class of locally conformally homogeneous (pseudo) Riemannian manifolds studied by V.V. Slavsky and E.D. Rodionov. Ricci solitons, which R. Hamilton first considered, are another important area of research. Ricci solitons are a generalization of Einstein's metrics on (pseudo) Riemannian man

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25

SARDANASHVILY, G. "SUPERMETRICS ON SUPERMANIFOLDS." International Journal of Geometric Methods in Modern Physics 05, no. 02 (2008): 271–86. http://dx.doi.org/10.1142/s021988780800276x.

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By virtue of the well-known theorem, a structure Lie group K of a principal bundle P → X is reducible to its closed subgroup H iff there exists a global section of the quotient bundle P/K → X. In gauge theory, such sections are treated as Higgs fields, exemplified by pseudo-Riemannian metrics on a base manifold X. Under some conditions, this theorem is extended to principal superbundles in the category of G-supermanifolds. Given a G-supermanifold M and a graded frame superbundle over M with a structure general linear supergroup, a reduction of this structure supergroup to an orthogonal-symplec

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26

McGregor, Pamela A., David R. Allan, Simon Parsons, and Colin R. Pulham. "The low-temperature and high-pressure crystal structures of cyclobutanol (C4H7OH)." Acta Crystallographica Section B Structural Science 61, no. 4 (2005): 449–54. http://dx.doi.org/10.1107/s0108768105019191.

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The low-temperature and high-pressure crystal structures of cyclobutanol (C4H7OH) have been determined using single-crystal X-ray diffraction techniques. At temperatures below 220 K, cyclobutanol crystallizes in the Aba2 space group (Z′ = 2) and its crystal structure is composed of pseudo-threefold hydrogen-bonded molecular catemers [assigned as C_2^2(4) in graph-set notation], which lie parallel to the crystallographic a axis. At a pressure of 1.3 GPa, the crystal symmetry changes to Pna21 (Z′ = 1) and the molecular catemers [expressed as C(2) in graph-set notation] adopt a pseudo-twofold arr

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27

Smith, Graham, Andy W. Hartono, Urs D. Wermuth, Peter C. Healy, Jonathan M. White, and A. David Rae. "5-Nitrosalicylic Acid and its Proton-Transfer Compounds with Aliphatic Lewis Bases." Australian Journal of Chemistry 58, no. 1 (2005): 47. http://dx.doi.org/10.1071/ch04144.

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The crystal structures of the proton-transfer compounds of 5-nitrosalicylic acid (5-nsa) with morpholine (morph), hexamethylenetetramine (hmt), and ethylenediamine (en) have been determined and their solid-state packing structures described. The compounds are [(morph)+(5-nsa)–] 1, [(hmt)+(5-nsa)–·H2O] 2, and [(en)2+2(5-nsa)–·H2O] 3. In all compounds, protonation of the hetero-nitrogen of the Lewis base occurs. With 1, the 5-nsa anions and the morpholine cations lie, respectively, in or across crystallographic mirror planes and are linked within the planes by hydrogen-bonding interactions throu

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28

Hunter, Leigh A., Shivani Naidoo, and Allen Mambanda. "N,N-bis(2-quinolinylmethyl)benzylamine." Molbank 2021, no. 2 (2021): M1208. http://dx.doi.org/10.3390/m1208.

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N,N-bis(2-quinolinylmethyl)benzylamine (1) was synthesized under basic conditions from a pseudo-three-component reaction between benzylamine and two molecules of 2-(quinolinylmethyl)chloride, resulting in the formation of two N–C bonds in a single step. Compound (1) crystallizes in the triclinic system of the P-1 space group. The unit cell comprises a dimer of 1, in which the monomers are linked by two complementary hydrogen bonds between N1 and H′1–C′1 of another molecule. The dimers form chains along the a-axis through intermolecular interactions between the N′2 acceptor atoms and C″17 donor

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29

Wardell, James L., Mukesh M. Jotani, and Edward R. T. Tiekink. "Crystal structure and Hirshfeld surface analysis of 2-{[2,8-bis(trifluoromethyl)quinolin-4-yl](hydroxy)methyl}piperidin-1-ium 2-hydroxy-2-phenylacetate hemihydrate." Acta Crystallographica Section E Crystallographic Communications 72, no. 11 (2016): 1618–27. http://dx.doi.org/10.1107/s2056989016016492.

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The asymmetric unit of the title salt, C17H17F6N2O+·C8H7O3−·0.5H2O, comprises a pair of pseudo-enantiomeric (i.e. related by a non-crystallographic centre of symmetry) piperidin-1-ium cations, two carboxylate anions and a water molecule of crystallization. The cations have similar conformations approximating to a letter,L: one of them shows disorder of its –CF3group over two sets of sites in a 0.775 (3):0.225 (3) ratio. Distinctive conformations are found for the anions, one with the carboxylate group lying to one side of the plane through the phenyl ring and the other where the oxygen atoms l

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30

Kherfi, Hamza, Mohamed Al Amine Benhacine, Malika Hamadène, and Fadila Balegroune. "ACr(C2O4)2(H2O)4 (A = Li or Na): two new coordination polymers of low dimensionality with different hydrogen-bond networks." Acta Crystallographica Section C Structural Chemistry 75, no. 11 (2019): 1524–34. http://dx.doi.org/10.1107/s2053229619014074.

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Single crystals of two new bimetallic oxalate compounds with the formula [ACr(C2O4)2(H2O)4] n (A = Li or Na), namely catena-poly[[diaqualithium(I)]-μ-oxalato-κ4 O 1,O 2:O 1′,O 2′-[diaquachromium(III)]-μ-oxalato-κ4 O 1,O 2:O 1′,O 2′], (I), and catena-poly[[diaquasodium(I)]-μ-oxalato-κ4 O 1,O 2:O 1′,O 2′-[di-aquachromium(III)]-μ-oxalato-κ4 O 1,O 2:O 1′,O 2′], (II), have been synthesized, characterized and their crystal structures elucidated by X-ray diffraction analysis and compared. The compounds crystallize in the monoclinic space group C2/m for (I) and in the triclinic space group P\overline{

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31

Kruglikov, Boris. "Blow-ups and infinitesimal automorphisms of CR-manifolds." Mathematische Zeitschrift 296, no. 3-4 (2020): 1701–24. http://dx.doi.org/10.1007/s00209-020-02488-7.

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Abstract For a real-analytic connected CR-hypersurface M of CR-dimension $$n\geqslant 1$$ n ⩾ 1 having a point of Levi-nondegeneracy the following alternative is demonstrated for its symmetry algebra $$\mathfrak {s}={\mathfrak {s}}(M)$$ s = s ( M ) : (i) either $$\dim {\mathfrak {s}}=n^2+4n+3$$ dim s = n 2 + 4 n + 3 and M is spherical everywhere; (ii) or $$\dim {\mathfrak {s}}\leqslant n^2+2n+2+\delta _{2,n}$$ dim s ⩽ n 2 + 2 n + 2 + δ 2 , n and in the case of equality M is spherical and has fixed signature of the Levi form in the complement to its Levi-degeneracy locus. A version of this resu

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32

ARNAUDON, MARC, YANA BELOPOLSKAYA, and SYLVIE PAYCHA. "RENORMALIZED LAPLACIANS ON A CLASS OF HILBERT MANIFOLDS AND A BOCHNER–WEITZENBÖCK TYPE FORMULA FOR CURRENT GROUPS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 03, no. 01 (2000): 53–98. http://dx.doi.org/10.1142/s0219025700000054.

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We define renormalized Laplacians and investigate their properties for a class of C2 functions on Hilbert manifolds modeled on a Hilbert space Hs(M, V) of sections of Sobolev class Hs of some vector bundle V based on a closed Riemannian manifold M, and such that the transition maps of the Hilbert manifold are pseudo-differential operators acting on smooth sections of the bundle V. Among these manifolds we find current groups Hs(M, G), s> dim M/2 where M is a closed manifold and G a Lie group. Weighted Laplacians are renormalized Laplacians which coincide with ordinary Laplacians when the un

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Amerik, Ekaterina, and Misha Verbitsky. "Collections of Orbits of Hyperplane Type in Homogeneous Spaces, Homogeneous Dynamics, and Hyperkähler Geometry." International Mathematics Research Notices 2020, no. 1 (2018): 25–38. http://dx.doi.org/10.1093/imrn/rnx319.

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Abstract Consider the space M = O(p, q)/O(p) × O(q) of positive p-dimensional subspaces in a pseudo-Euclidean space V of signature (p, q), where p &gt; 0, q &gt; 1 and $(p,q)\neq (1,2)$, with integral structure: $V = V_{\mathbb{Z}} \otimes \mathbb{Z}$. Let Γ be an arithmetic subgroup in $G = O(V_{\mathbb{Z}})$, and $R \subset V_{\mathbb{Z}}$ a Γ-invariant set of vectors with negative square. Denote by R⊥ the set of all positive p-planes W ⊂ V such that the orthogonal complement W⊥ contains some r ∈ R. We prove that either R⊥ is dense in M or Γ acts on R with finitely many orbits. This

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34

Johnson, Marianne, and Ralph Stöhr. "Lie Powers and Pseudo-Idempotents." Canadian Mathematical Bulletin 54, no. 2 (2011): 297–301. http://dx.doi.org/10.4153/cmb-2011-014-x.

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AbstractWe give a new factorisation of the classical Dynkin operator, an element of the integral group ring of the symmetric group that facilitates projections of tensor powers onto Lie powers. As an application we show that the iterated Lie power L2(Ln) is a module direct summand of the Lie power L2n whenever the characteristic of the ground field does not divide n. An explicit projection of the latter onto the former is exhibited in this case.

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35

Horda, R., and E. Tsyganovich. "COLLOID-CHEMICAL PATTERNS OF SORPTION OF PALLADIUM (II) ON PHYTOSORBENTS." Bulletin of Taras Shevchenko National University of Kyiv. Chemistry, no. 2(54) (2017): 64–66. http://dx.doi.org/10.17721/1728-2209.2017.2(54).12.

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The colloid-chemical patterns of sorption of palladium (II) on phytosorbents have been studied. It was found that the kinetics of sorption depends on the concentration of palladium (II) in the solution. When the concentration increases, the time of the establishment of the sorption equilibrium increases. Kinetic curves are best described by a pseudo-second order model throughout the range of concentrations studied. The correlation coefficient in the pseudo-first order equation at high concentrations of palladium (II) in the solution has a value close to 1. This feature may indicate that, at lo

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NEHANIV, CHRYSTOPHER LEV. "ALGEBRAIC CONNECTIVITY." International Journal of Algebra and Computation 01, no. 04 (1991): 445–71. http://dx.doi.org/10.1142/s0218196791000316.

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Let [Formula: see text] be a type of algebra in the sense of universal algebra. By defining singular simplices in algebras and emulating singular [co] homology, we introduce for each variety, pseudo-variety, and divisional class V of type [Formula: see text], a homology and cohomology theory which measure the V-connectivity of type-[Formula: see text] algebras. Intuitively, if we were to think of an algebra as a space and subalgebras which lie in V as simplices, then V-connectivity describes the failure of subalgebras to lie in V, i.e., it describes the "holes" in this space. These [co]homolog

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37

Wheeler, Marsha, Chris Frazar, Kerry Lannert, et al. "Prediction of MNS Blood Group Antigens Using Next Generation Sequencing." Blood 128, no. 22 (2016): 1458. http://dx.doi.org/10.1182/blood.v128.22.1458.1458.

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Abstract Background The MNS blood group system is second in diversity only to the RH blood group system, with 46 described antigens. MNS system antigens are carried on glycophorins GPA and GPB that are products of the GYPA and GYPB genes, respectively. GYPA and GYPB are homologous paralogs which lie adjacent to each other on chromosome 4 in tandem with a third GYP paralog, GYPE. Current DNA-based testing methods for predicting MNS can be confounded by all types of genetic variation at the GYP locus, particularly in individuals of non-European ancestry. We sought to develop a next generation se

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Resche-Rigon, Matthieu, Marie Robin, Regis Peffault de Latour, Sylvie Chevret, and Gerard P. Socie. "Estimating the Causal Effect of Some Exposure From Nonrandomized Studies: The Example of Reduced Intensity Conditioning (RIC) in Hematological Diseases." Blood 114, no. 22 (2009): 3365. http://dx.doi.org/10.1182/blood.v114.22.3365.3365.

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Abstract Abstract 3365 Poster Board III-253 Introduction: Although allogeneic SCT with RIC has now gained wide acceptance, its eventual benefit again non-transplant approach is largely unknown (outside the setting of large randomized trials). When evaluating the impact on survival of reduced intensity conditioning in malignant hematological diseases, standard estimations based on Cox regression from observational databases could be biased because they ignore covariates that confound treatment decision. In this setting, we applied and compared two different statistical methods that were develop

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Donovan, Katherine A., Sarah C. Atkinson, Sarah A. Kessans, et al. "Grappling with anisotropic data, pseudo-merohedral twinning and pseudo-translational noncrystallographic symmetry: a case study involving pyruvate kinase." Acta Crystallographica Section D Structural Biology 72, no. 4 (2016): 512–19. http://dx.doi.org/10.1107/s205979831600142x.

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Pyruvate kinase is a key regulatory enzyme involved in the glycolytic pathway. The crystal structure ofEscherichia colitype I pyruvate kinase was first solved in 1995 at 2.5 Å resolution. However, the space group was ambiguous, being either primitive orthorhombic (P212121) orC-centred orthorhombic (C2221). Here, the structure determination and refinement ofE. colitype I pyruvate kinase to 2.28 Å resolution are presented. Using the same crystallization conditions as reported previously, the enzyme was found to crystallize in space groupP21. Determination of the space group was complicated owing

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Reckeweg, Olaf, and Francis J. DiSalvo. "Synthesis and single-crystal structure of the pseudo-ternary compounds LiA[N(CN)2]2 (A = K or Rb)." Zeitschrift für Naturforschung B 71, no. 2 (2016): 157–60. http://dx.doi.org/10.1515/znb-2015-0174.

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AbstractCrystals of LiA[N(CN)2]2 were obtained from the reaction of LiCl and ACl (A = K or Rb) with Ag[N(CN)2] in water and subsequent evaporation of the filtered solution at 80 °C under normal atmospheric conditions. Crystals of the title compound form thin rectangular plates that are transparent, colorless, and very fragile. Single-crystal structure analyses have shown that both compounds are isotypic and adopt the tetragonal space group I4/mcm (no. 140, Z = 4) with the cell parameters a = 701.53(12) and c = 1413.7(5) pm for LiK[N(CN)2]2 and a = 730.34(10) and c = 1414.4(4) pm for LiRb[N(CN)

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Carpio-Brenes, María De los Ángeles. "Adquisición de la lectura experta en estudiantes costarricenses mediante las estrategias pictofónicas." Revista Electrónica Educare 21, no. 1 (2016): 1. http://dx.doi.org/10.15359/ree.21-1.8.

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The following article describes the results of a study carried out in Costa Rica in 2011 with the objective of confirming the acquisition of reading expertise in second grade students who were taught to read with Pictophonic Strategies for two years, in comparison with other students who used the Eclectic Method during the same period of time. Reading expertise is understood as the use of two necessary procedures to decode words: the lexical route for the acknowledgment of known words, and the sub-lexical route for unknown words. An experimental pre-post design study was carried out with a con

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Sellmann, Dieter, Franz Grasser, Falk Knoch, and Matthias Moll. "Übergangsmetallkomplexe mit Schwefelliganden, LXXX. Synthese, Struktur, Oxotransfer- und redoxgekoppelte Kondensationsreaktionen von Molybdän-Oxo-Komplexen mit dem sterisch anspruchsvollen vierzähnigen Thioether-Thiolat-Liganden 'buS4'2- ('buS4'2- = 1,2-Bis(2-mercapto-3,5-di-t-butylphenylthio)ethan(2—))/Transition Metal Complexes with Sulfur Ligands, LXXX. Syntheses, Structures, Oxo Transfer and Redox Coupled Condensation Reactions of Molybdenum Oxo Complexes with the Sterically Demanding Tetradentate Thioether-Thiolato-Ligand 'buS4'2- ('buS4'2- = 1,2-Bis(2-mercapto-3,5-di-/-butylphenylthio)ethane(2—))." Zeitschrift für Naturforschung B 47, no. 1 (1992): 61–73. http://dx.doi.org/10.1515/znb-1992-0114.

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In order to obtain soluble molybdenum sulfur oxo complexes, [Mo(O)2('buS4')] (1) ('buS4'2- = 1,2-bis(2-mercapto-3,5-di-t-butylphenylthio)ethane(2-)) was synthesized by reaction of [Mo(O)2(acac)2] (acac- = acetylacetonate(1-) ) with 'buS4'-Li2. Treatment of 1 with PPh3 yielded [μ-O{Mo(O)('buS4')}2] (2) and OPPh3 in an oxo transfer reaction. [Mo(PMe3)2('buS2')2] (3) ('buS2'2- = 3,5-di-t-butyl-1,2 -benzenedithiolate(2-)) was obtained by twofold desoxygenation of 1 with excess PMe3 via a redox coupled addition elimination reaction. 2 reacts with the oxo group donor DMSO to yield 1 and Me2S. The sy

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Schlutow, Mark, R. Klein, and U. Achatz. "Finite-amplitude gravity waves in the atmosphere: travelling wave solutions." Journal of Fluid Mechanics 826 (August 15, 2017): 1034–65. http://dx.doi.org/10.1017/jfm.2017.459.

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Wentzel–Kramers–Brillouin theory was employed by Grimshaw (Geophys. Fluid Dyn., vol. 6, 1974, pp. 131–148) and Achatz et al. (J. Fluid Mech., vol. 210, 2010, pp. 120–147) to derive modulation equations for non-hydrostatic internal gravity wave packets in the atmosphere. This theory allows for wave packet envelopes with vertical extent comparable to the pressure scale height and for large wave amplitudes with wave-induced mean-flow speeds comparable to the local fluctuation velocities. Two classes of exact travelling wave solutions to these nonlinear modulation equations are derived here. The f

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Smolentsev, Nikolai, and Nikolai Smolentsev. "INVARIANT PSEUDO-SASAKIAN AND K-CONTACT STRUCTURES ON SEVEN-DIMENSIONAL NILPOTENT LIE GROUPS." Science Evolution, June 27, 2017, 91–99. http://dx.doi.org/10.21603/2500-1418-2017-2-1-91-99.

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This paper studies the existence of left-invariant Sasaki contact structures on the seven-dimensional nilpotent Lie groups. It is shown that the only Lie group allowing Sasaki structure with a positive definite metric tensor is the Heisenberg group A complete list of 22 classes of seven-dimensional nilpotent Lie groups which admit pseudo-Riemannian Sasaki structures is found. A list of 25 classes of seven-dimensional nilpotent Lie groups admitting K-contact structures, but not pseudo-Riemannian Sasaki structures, is also presented. All the contact structures considered are central extensions o

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Yan, Zaili. "Pseudo-algebraic Ricci solitons on Einstein nilradicals." Advances in Geometry, April 11, 2021. http://dx.doi.org/10.1515/advgeom-2020-0032.

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Abstract We develop a variational method to find pseudo-algebraic Ricci solitons on connected Lie groups. As applications, we prove that every Einstein nilradical admits a non-Riemannian algebraic Ricci soliton, and that any algebraic Ricci soliton on a semi-simple Lie group is Einstein. Furthermore, we construct several Lorentz algebraic Ricci solitons on the nilpotent Lie groups which have a codimension one abelian ideal.

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Smolentsev, Nikolay, and Nikolay Smolentsev. "LEFT-INVARIANT ALMOST PARA-COMPLEX EINSTEINIAN STRUCTURES ON SIX-DIMENSIONAL NILPOTENT LIE GROUPS." Science Evolution, December 30, 2017, 88–95. http://dx.doi.org/10.21603/2500-1418-2017-2-2-88-95.

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As is well known, there are 34 classes of isomorphic simply connected six-dimensional nilpotent Lie groups. Of these, only 26 classes admit left-invariant symplectic structures and only 18 admit left-invariant complex structures. There are five six-dimensional nilpotent Lie groups G , which do not admit neither symplectic, nor complex structures and, therefore, can be neither almost pseudo- Kӓhlerian, nor almost Hermitian. In this work, these Lie groups are being studied. The aim of the paper is to define new left-invariant geometric structures on the Lie groups under consideration that compen

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Zhukova, Nina, and Anna Dolgonosova. "The automorphism groups of foliations with transverse linear connection." Open Mathematics 11, no. 12 (2013). http://dx.doi.org/10.2478/s11533-013-0307-8.

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AbstractThe category of foliations is considered. In this category morphisms are differentiable maps sending leaves of one foliation into leaves of the other foliation. We prove that the automorphism group of a foliation with transverse linear connection is an infinite-dimensional Lie group modeled on LF-spaces. This result extends the corresponding result of Macias-Virgós and Sanmartín Carbón for Riemannian foliations. In particular, our result is valid for Lorentzian and pseudo-Riemannian foliations.

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Goze, Michel, Paola Piu, and Elisabeth Remm. "Pseudo-Riemannian Symmetries on Heisenberg Groups." Annals of the Alexandru Ioan Cuza University - Mathematics, December 10, 2014. http://dx.doi.org/10.2478/aicu-2014-0038.

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Abstract The notion of Γ-symmetric space is a natural generalization of the classical notion of symmetric space based on Z2-grading on Lie algebras. We consider homogeneous spaces G/H such that the Lie algebra g of G admits a Γ-grading where Γ is a finite abelian group. In this work we study Riemannian metrics and Lorentzian metrics on the Heisenberg group H3 adapted to the symmetries of a Γ-symmetric structure on H3. We prove that the classification of Riemannian and Lorentzian Zl-symmetric metrics on H3 corresponds to the classification of its left-invariant Riemannian and Lorentzian metrics

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Guensburg, Thomas E., James Sprinkle, Rich Mooi, and Bertrand Lefebvre. "Evolutionary significance of the blastozoan Eumorphocystis and its pseudo-arms." Journal of Paleontology, November 3, 2020, 1–17. http://dx.doi.org/10.1017/jpa.2020.84.

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Abstract Twelve specimens of Eumorphocystis Branson and Peck, 1940 provide the basis for new findings and a more informed assessment of whether this blastozoan (a group including eocrinoids, blastoids, diploporites, rhombiferans) constitutes the sister taxon to crinoids, as has been recently proposed. Both Eumorphocystis and earliest-known crinoid feeding appendages express longitudinal canals, a demonstrable trait exclusive to these taxa. However, the specimen series studied here shows that Eumorphocystis canals constrict proximally and travel within ambulacrals above the thecal cavity. This

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Jacobs, Ben M., Nichola Sarathchandra, Mayuri Karela, Louise E. Daniels, and Nirupam Purkayastha. "P90 Streamlining primary care referrals to an early inflammatory arthritis (EIA) clinic: distinguishing between patients with osteoarthritis and inflammatory arthritis." Rheumatology 59, Supplement_2 (2020). http://dx.doi.org/10.1093/rheumatology/keaa111.088.

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Abstract Background To use biochemical markers and ultrasound to differentiate between inflammatory and noninflammatory diagnoses in the early inflammatory arthritis (EIA) referral setting. Careful patient selection is crucial to ensure timely and efficient use of secondary care resources. Methods A retrospective audit of the EIA pathway was conducted over six months at two partnered district general hospitals in London in 2018. For each of the 75 patients studied, data collected included demographics, biomarkers of disease and inflammation, appointments dates, details of scans requested, and

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