Log in

Relevant bibliographies by topics / 11-Dimensional Algebra / Journal articles

To see the other types of publications on this topic, follow the link: 11-Dimensional Algebra.

Journal articles on the topic '11-Dimensional Algebra'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic '11-Dimensional Algebra.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Archbold, R. J., and Alexander Kumjian. "Nuclear subalgebras of UHF C*-algebras." Proceedings of the Edinburgh Mathematical Society 29, no. 1 (1986): 97–100. http://dx.doi.org/10.1017/s0013091500017454.

Full text

Abstract:

A C*-algebra A is said to be approximately finite dimensional (AF) if it is the inductive limit of a sequence of finite dimensional C*-algebras(see [2], [5]). It is said to be nuclear if, for each C*-algebra B, there is a unique C*-norm on the *-algebraic tensor product A ⊗B [11]. Since finite dimensional C*-algebras are nuclear, and inductive limits of nuclear C*-algebras are nuclear [16];,every AF C*-algebra is nuclear. The family of nuclear C*-algebras is a large and well-behaved class (see [12]). The AF C*-algebras for a particularly tractable sub-class which has been completely classified

APA, Harvard, Vancouver, ISO, and other styles

2

Gubitosi, Viviana. "Derived class of m-cluster tilted algebras of type 𝔸̃". Journal of Algebra and Its Applications 17, № 11 (2018): 1850216. http://dx.doi.org/10.1142/s021949881850216x.

Full text

Abstract:

In this paper, we characterize all the finite-dimensional algebras that are derived equivalent to an [Formula: see text]-cluster tilted algebras of type [Formula: see text]. This generalizes a result of Bobiński and Buan [The algebras derived equivalent to gentle cluster tilted algebras, J. Algebra Appl. 11(1) (2012), Article ID:1250012, 26 pp.].

APA, Harvard, Vancouver, ISO, and other styles

3

Lee, Jongwoo, and Ki-Bong Nam. "New Simple Algebras Containing the Matrix Ring." Algebra Colloquium 18, spec01 (2011): 775–84. http://dx.doi.org/10.1142/s1005386711000654.

Full text

Abstract:

We define the combinatorial simple algebras N(eAS,n,t)k, N(eAS,n,t)k+and N(eAS,n,t)[k]which contain both the matrix ring and the non-associative algebras discussed in [11]. We also define a new cyclic finite dimensional algebra which contains the matrix ring Mn(𝔽) and show that the algebra is simple (see [3] and [7]). Even more, we find the automorphism group of the algebra N(0,n,t)[1]and show that the general matrix group GLn+t(𝔽) is not a subgroup of the automorphism group Aut (N(0,n,t)[1]).

APA, Harvard, Vancouver, ISO, and other styles

4

Fuller, K. R., W. K. Nicholson, and J. F. Watters. "Reflexive Bimodules." Canadian Journal of Mathematics 41, no. 4 (1989): 592–611. http://dx.doi.org/10.4153/cjm-1989-026-x.

Full text

Abstract:

If VK is a finite dimensional vector space over a field K and L is a lattice of subspaces of V, then, following Halmos [11], alg L is defined to be (the K-algebra of) all K-endomorphisms of V which leave every subspace in L invariant. If R ⊆ end(VK) is any subalgebra we define lat R to be (the sublattice of) all subspaces of VK which are invariant under every transformation in R. Then R ⊆ alg [lat R] and R is called a reflexive algebra when this is equality. Every finite dimensional algebra is isomorphic to a reflexive one ([4]) and these reflexive algebras have been studied by Azoff [1], Bark

APA, Harvard, Vancouver, ISO, and other styles

5

Cuenca Mira, José Antonio, Amable García Martín, and Cándido Martín González. "Structure theory for L*-algebras." Mathematical Proceedings of the Cambridge Philosophical Society 107, no. 2 (1990): 361–65. http://dx.doi.org/10.1017/s0305004100068626.

Full text

Abstract:

AbstractThe structure theory of separable complex L*-algebras was given by Schue in [10] and [11]. In [3] Balachandran makes a study of infinite-dimensional complex topologically simple L*-algebras of classical type and poses the question whether these algebras exhaust the class of all infinite-dimensional complex topologically simple L*-algebras. In this paper we give an affirmative answer by determining all the complex topologically simple infinite-dimensional L*-algebras. The case of the real L*-algebras was studied previously in [4], [9] and [12] also under the separability condition. Appl

APA, Harvard, Vancouver, ISO, and other styles

6

HOPPE, JENS. "INFINITE DIMENSIONAL ALGEBRAS AND 2+1 DIMENSIONAL FIELD THEORY: YET ANOTHER VIEW OF gl(∞) SOME NEW ALGEBRAS." Reviews in Mathematical Physics 02, no. 02 (1990): 193–200. http://dx.doi.org/10.1142/s0129055x90000089.

Full text

Abstract:

Over the past years, associative algebras have come to play a major role in several areas of theoretical physics. Firstly, it has been realized that Yang Baxter algebras [1] constitute the relevant structure underlying 1+1 dimensional integrable models; in addition, their relation to braid groups, the theory of knots and links, and the exchange algebras of 1+1 dimensional conformal field theories [2] has been quite well understood by now. Secondly, deformations of Poisson structures that appeared in 2+1 dimensional field theories as infinite dimensional symmetry algebras possess underlying ass

APA, Harvard, Vancouver, ISO, and other styles

7

Lykova, Z. A. "On non-zero values of the central homological dimension of C*-algebras." Glasgow Mathematical Journal 34, no. 3 (1992): 369–78. http://dx.doi.org/10.1017/s0017089500008971.

Full text

Abstract:

The paper is related to the area which was recently called topological homology [3, 6, 12, 16, 4]. We consider questions associated with the central Hochschild cohomology of C*-algebras. The study of the latter was begun by J. Phillips and I. Raeburn in [9, 10], when they were investigating some problems of the theory of perturbations of C*-algebras. In [8] we obtained a description of the structure of C*-algebras with central bidimension zero: it was proved that these C*-algebras are unital and have continuous trace. In the special case of separable and a priori unital C*-algebras this statem

APA, Harvard, Vancouver, ISO, and other styles

8

Siraeva, D. T., and Y. V. Yulmukhametova. "Transformations of gas dynamics equations and basis operators of a admitted 11-dimensional Lie algebra." Multiphase Systems 15, no. 3-4 (2020): 217–22. http://dx.doi.org/10.21662/mfs2020.3.133.

Full text

Abstract:

In this paper, the gas dynamics equations are considered. The system is closed by a general equation of state. This equations describe a model of an inviscid non-heat-conducting gas motion in the absence of external force fields and external energy sources. The system is invariant under the 11-parameter group with the corresponding 11-dimensional Lie algebra. The gas dynamics equations, equations of motion, and basis operators of the Lie algebra are written in Cartesian, Cylindrical, and Spherical coordinate systems. The steps involved when changing the coordinate system are illustrated in det

APA, Harvard, Vancouver, ISO, and other styles

9

DURHUUS, BERGFINNUR, HANS PLESNER JAKOBSEN, and RYSZARD NEST. "TOPOLOGICAL QUANTUM FIELD THEORIES FROM GENERALIZED 6J-SYMBOLS." Reviews in Mathematical Physics 05, no. 01 (1993): 1–67. http://dx.doi.org/10.1142/s0129055x93000024.

Full text

Abstract:

Given an associative algebra with a distinguished finite set of representations that is closed under a (deformed) tensor product, and satisfies some technical assumptions, we define generalized 6j-symbols, and show that they can be associated, in a natural way, with certain labeled tetrahedra. Given a 3-dimensional compact oriented manifold M with boundary ∂M = Σ we choose an arbitrary triangulation [Formula: see text] of M and exploit the above correspondence between 6j-symbols and labeled tetrahedra to construct a vectorspace UΣ and a vector Z(M) ∈ UΣ, independent of [Formula: see text], and

APA, Harvard, Vancouver, ISO, and other styles

10

Hussain, Tahir, Shehzad Ahmad, and Fawad Khan. "Homothetic matter collineations of LRS Bianchi type V spacetimes with perfect fluid source." Modern Physics Letters A 34, no. 38 (2019): 1950312. http://dx.doi.org/10.1142/s0217732319503127.

Full text

Abstract:

For a perfect fluid source, we have investigated the homothetic matter collineations (HMCs) of locally rotationally symmetric (LRS) Bianchi type V spacetimes. For degenerate energy–momentum tensor, two cases arise. In one case, the solution of HMC equations yields 11-dimensional algebra of HMCs while in the second case, we have infinite number of HMCs. When the energy–momentum tensor is non-degenerate, we have four cases, each giving five-dimensional algebra of HMCs. Some LRS Bianchi type V metrics are provided admitting HMCs.

APA, Harvard, Vancouver, ISO, and other styles

11

Helayël-Neto, J. A., Alireza Sepehri, and Tooraj Ghaffary. "The Origin of Chern-Simons Modified Gravity from an 11 + 3-Dimensional Manifold." Advances in High Energy Physics 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/6021419.

Full text

Abstract:

It is our aim to show that the Chern-Simons terms of modified gravity can be understood as generated by the addition of a 3-dimensional algebraic manifold to an initial 11-dimensional space-time manifold; this builds up an 11+3-dimensional space-time. In this system, firstly, some fields living in the bulk join the fields that live on the 11-dimensional manifold, so that the rank of the gauge fields exceeds the dimension of the algebra; consequently, there emerges an anomaly. To solve this problem, another 11-dimensional manifold is included in the 11+3-dimensional space-time, and it interacts

APA, Harvard, Vancouver, ISO, and other styles

12

Mukminov, T. F., and S. V. Khabirov. "Graph of embedded subalgebras of 11-dimensional symmetry algebra for continuous medium." Sibirskie Elektronnye Matematicheskie Izvestiya 16 (January 28, 2019): 121–43. http://dx.doi.org/10.33048/semi.2019.16.006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

GRINBERG, DARIJ, JIA HUANG, and VICTOR REINER. "Critical groups for Hopf algebra modules." Mathematical Proceedings of the Cambridge Philosophical Society 168, no. 3 (2018): 473–503. http://dx.doi.org/10.1017/s0305004118000786.

Full text

Abstract:

AbstractThis paper considers an invariant of modules over a finite-dimensional Hopf algebra, called the critical group. This generalises the critical groups of complex finite group representations studied in [1, 11]. A formula is given for the cardinality of the critical group generally, and the critical group for the regular representation is described completely. A key role in the formulas is played by the greatest common divisor of the dimensions of the indecomposable projective representations.

APA, Harvard, Vancouver, ISO, and other styles

14

Assem, Ibrahim, and Flávio Ulhoa Coelho. "Complete slices and homological properties of tilted algebras." Glasgow Mathematical Journal 36, no. 3 (1994): 347–54. http://dx.doi.org/10.1017/s0017089500030950.

Full text

Abstract:

It is reasonable to expect that the representation theory of an algebra (finite dimensional over a field, basic and connected) can be used to study its homological properties. In particular, much is known about the structure of the Auslander-Reiten quiver of an algebra, which records most of the information we have on its module category. We ask whether one can predict the homological dimensions of a module from its position in the Auslander-Reiten quiver. We are particularly interested in the case where the algebra is a tilted algebra. This class of algebras of global dimension two, introduce

APA, Harvard, Vancouver, ISO, and other styles

15

Marsh, R. J. "Canonical bases and standard monomials." Proceedings of the Edinburgh Mathematical Society 41, no. 3 (1998): 611–23. http://dx.doi.org/10.1017/s0013091500019921.

Full text

Abstract:

Let U be the quantized enveloping algebra associated to a simple Lie algebra g by Drinfel'd and Jimbo. Let λ be a classical fundamental weight for g, and ⋯(λ) the irreducible, finite-dimensional type 1 highest weight U-module with highest weight λ. We show that the canonical basis for ⋯(λ) (see Kashiwara [6, §0] and Lusztig [18, 14.4.12]) and the standard monomial basis (see [11, §§2.4 and 2.5]) for ⋯(λ) coincide.

APA, Harvard, Vancouver, ISO, and other styles

16

Musaev, Edvard T. "On the Non-Abelian U-Duality of 11D Backgrounds." Universe 8, no. 5 (2022): 276. http://dx.doi.org/10.3390/universe8050276.

Full text

Abstract:

In this work, we generalise the procedure of the non-abelian T-duality based on a B-shift and a sequence of formal abelian T-dualities in non-isometric directions to 11-dimensional backgrounds. This consists of a C-shift followed by either a formal (abelian) U-duality transformation or taking an IIB section. By construction, this is a solution generating transformation. We investigate the restrictions and applicability of the procedure and find that it can provide supergravity solutions for the SL(5) exceptional Drinfeld algebra only when the isometry algebra of the sigma-model target space de

APA, Harvard, Vancouver, ISO, and other styles

17

Hussain, Tahir, and Waqas Rahim. "Homothetic matter collineations of LRS Bianchi type I spacetimes." Modern Physics Letters A 32, no. 37 (2017): 1750197. http://dx.doi.org/10.1142/s0217732317501978.

Full text

Abstract:

A complete classification of locally rotationally symmetric (LRS) Bianchi type I spacetimes via homothetic matter collineations (HMCs) is presented. For non-degenerate energy–momentum tensor, a general form of the vector field generating HMCs is found, subject to some integrability conditions. Solving the integrability conditions in different cases, it is found that the LRS Bianchi type I spacetimes admit 6-, 7-, 8-, 10- or 11-dimensional Lie algebra of HMCs. When the energy–momentum tensor is degenerate, two cases give 6 and 11 HMCs, while the remaining cases produce infinite number of HMCs.

APA, Harvard, Vancouver, ISO, and other styles

18

Fiorenza, Domenico, Hisham Sati, and Urs Schreiber. "Super-Lie n-algebra extensions, higher WZW models and super-p-branes with tensor multiplet fields." International Journal of Geometric Methods in Modern Physics 12, no. 02 (2015): 1550018. http://dx.doi.org/10.1142/s0219887815500188.

Full text

Abstract:

We formalize higher-dimensional and higher gauge WZW-type sigma-model local prequantum field theory, and discuss its rationalized/perturbative description in (super-)Lie n-algebra homotopy theory (the true home of the "FDA"-language used in the supergravity literature). We show generally how the intersection laws for such higher WZW-type σ-model branes (open brane ending on background brane) are encoded precisely in (super-)L∞-extension theory and how the resulting "extended (super-)space-times" formalize spacetimes containing σ-model brane condensates. As an application we prove in Lie n-alge

APA, Harvard, Vancouver, ISO, and other styles

19

DAMOUR, THIBAULT. "COSMOLOGICAL SINGULARITIES, EINSTEIN BILLIARDS AND LORENTZIAN KAC–MOODY ALGEBRAS." Journal of Hyperbolic Differential Equations 02, no. 02 (2005): 293–330. http://dx.doi.org/10.1142/s0219891605000452.

Full text

Abstract:

The structure of the general, inhomogeneous solution of (bosonic) Einstein-matter systems in the vicinity of a cosmological singularity is considered. We review the proof (based on ideas of Belinskii–Khalatnikov–Lifshitz and technically simplified by the use of the Arnowitt–Deser–Misner Hamiltonian formalism) that the asymptotic behavior, as one approaches the singularity, of the general solution is describable, at each (generic) spatial point, as a billiard motion in an auxiliary Lorentzian space. For certain Einstein-matter systems, notably for pure Einstein gravity in any spacetime dimensio

APA, Harvard, Vancouver, ISO, and other styles

20

Yulmukhametova, Yu V. "Barochronous shear gas motion." Multiphase Systems 14, no. 4 (2019): 274–78. http://dx.doi.org/10.21662/10.21662/mfs2019.4.035.

Full text

Abstract:

The equations of ideal gas dynamics admit an 11-dimensional Lie algebra of first-order differentiation operators. All subalgebras of this algebra are listed. Khabirov S.V. for all 48 types of 4-dimensional subalgebras, the bases of point invariants are calculated and three 4-dimensional subalgebras are considered that produce regular partially invariant solutions in Cartesian, cylindrical and spherical coordinates, respectively. In this paper, we pose the problem of finding the solution of 3-dimensional equations of gas dynamics in a Cartesian coordinate system with an arbitrary equation of st

APA, Harvard, Vancouver, ISO, and other styles

21

Sepehri, Alireza, and Richard Pincak. "G-theory: The generator of M-theory and supersymmetry." Modern Physics Letters A 33, no. 10n11 (2018): 1850058. http://dx.doi.org/10.1142/s021773231850058x.

Full text

Abstract:

In string theory with ten dimensions, all Dp-branes are constructed from D0-branes whose action has two-dimensional brackets of Lie 2-algebra. Also, in M-theory, with 11 dimensions, all Mp-branes are built from M0-branes whose action contains three-dimensional brackets of Lie 3-algebra. In these theories, the reason for difference between bosons and fermions is unclear and especially in M-theory there is not any stable object like stable M3-branes on which our universe would be formed on it and for this reason it cannot help us to explain cosmological events. For this reason, we construct G-th

APA, Harvard, Vancouver, ISO, and other styles

22

CASTRO, CARLOS. "A CHERN–SIMONS E8 GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES." International Journal of Geometric Methods in Modern Physics 04, no. 08 (2007): 1239–57. http://dx.doi.org/10.1142/s0219887807002545.

Full text

Abstract:

A novel Chern–Simons E8 gauge theory of gravity in D = 15 based on an octicE8 invariant expression in D = 16 (recently constructed by Cederwall and Palmkvist) is developed. A grand unification model of gravity with the other forces is very plausible within the framework of a supersymmetric extension (to incorporate spacetime fermions) of this Chern–Simons E8 gauge theory. We review the construction showing why the ordinary 11D Chern–Simons gravity theory (based on the Anti de Sitter group) can be embedded into a Clifford-algebra valued gauge theory and that an E8 Yang–Mills field theory is a s

APA, Harvard, Vancouver, ISO, and other styles

23

Dymarskii, Ya M., and A. A. Bondar’. "An eigenfunction manifold generated by a family of periodic boundary value problems." Sbornik: Mathematics 212, no. 9 (2021): 1208–27. http://dx.doi.org/10.1070/sm9294.

Full text

Abstract:

Abstract An analytic and topological description is given of the manifold of periodic eigenfunctions generated by the space of one-dimensional stationary Schrödinger equations with periodic real potentials. Connections with results due to Neuman, Ince and Uhlenbeck are discussed. Bibliography: 11 titles.

APA, Harvard, Vancouver, ISO, and other styles

24

Németi, I. "Cylindric-relativised set algebras have strong amalgamation." Journal of Symbolic Logic 50, no. 3 (1985): 689–700. http://dx.doi.org/10.2307/2274323.

Full text

Abstract:

In algebra, the properties of having the (strong) amalgamation property and epis being surjective are well investigated; see the survey [10]. In algebraic logic it is shown that to these algebraic properties there correspond interesting logical properties, see e.g. [15], [12], [4], and [8, p. 311, Problem 10 and the remark below it]. In the present paper we show that the varieties Crsα (of cylindric-relativised set algebras) and Boα (of Boolean algebras with operators) have the strong amalgamation property. These contrast to the following result proved in Pigozzi [15]: No class K with Gsα ⊆ K

APA, Harvard, Vancouver, ISO, and other styles

25

Hussain, Tahir, Khudija Shaheen, and Faiza Saleem. "Homothetic matter collineations of static plane symmetric spacetimes." International Journal of Geometric Methods in Modern Physics 16, no. 12 (2019): 1950182. http://dx.doi.org/10.1142/s0219887819501822.

Full text

Abstract:

In this paper, we present a complete classification of static plane symmetric spacetimes via their homothetic symmetries of the energy–momentum tensor, known as homothetic matter collineations (HMCs). The HMC equations for these spacetimes are derived and then solved by considering the degeneracy and non-degeneracy of the energy–momentum tensor. In the former case, we have obtained 6, 11 and infinite number of HMCs, while in the latter case, the solution of HMC equations yields 6-, 7-, 8-, 10- and 11-dimensional algebra of HMCs. The obtained HMCs generate some differential constraints involvin

APA, Harvard, Vancouver, ISO, and other styles

26

West, Peter. "A brief review of E theory." International Journal of Modern Physics A 31, no. 26 (2016): 1630043. http://dx.doi.org/10.1142/s0217751x1630043x.

Full text

Abstract:

I begin with some memories of Abdus Salam who was my PhD supervisor. After reviewing the theory of nonlinear realisations and Kac–Moody algebras, I explain how to construct the nonlinear realisation based on the Kac–Moody algebra [Formula: see text] and its vector representation. I explain how this field theory leads to dynamical equations which contain an infinite number of fields defined on a space–time with an infinite number of coordinates. I then show that these unique dynamical equations, when truncated to low level fields and the usual coordinates of space–time, lead to precisely the eq

APA, Harvard, Vancouver, ISO, and other styles

27

Suncov, O., L. Zhikharev, and A. Efremov. "Integration of Three-Dimensional Reflections from Curved Mirrors Using Computer Algebra Tools." Geometry & Graphics 11, no. 4 (2024): 15–31. http://dx.doi.org/10.12737/2308-4898-2024-11-4-15-31.

Full text

Abstract:

This article is a continuation of the study of the process of reflection of various objects from curved mirrors. So, earlier in the works [18; 20], a geometric method of constructing the results of reflections was described, which was implemented mathematically in the article [38] using the principles of analytical geometry [6; 11–14; 30]. The obtained analytical equations of the reflection results were visualized in the Wolfram Mathematica [24] program with the ability to dynamically change the parameters of the mirror and the reflected object. However, in the listed works, only cases of refl

APA, Harvard, Vancouver, ISO, and other styles

28

SAVVIDY, G. K. "TENSIONLESS STRINGS: PHYSICAL FOCK SPACE AND HIGHER SPIN FIELDS." International Journal of Modern Physics A 19, no. 19 (2004): 3171–94. http://dx.doi.org/10.1142/s0217751x04018312.

Full text

Abstract:

We study the physical Fock space of the tensionless string theory with perimeter action, exploring its new gauge symmetry algebra. The cancellation of conformal anomaly requires the space–time to be 13-dimensional. All particles are massless and there are no tachyon states in the spectrum. The zero mode conformal operator defines the levels of the physical Fock space. All levels can be classified by the highest Casimir operator W of the little group E(11) for massless particles in 11-dimensions. The ground state is infinitely degenerated and contains massless gauge fields of arbitrary large in

APA, Harvard, Vancouver, ISO, and other styles

29

POP, IULIA I. "RATIONAL SOLUTIONS OF THE CYBE AND LOCALLY TRANSITIVE ACTIONS ON ISOTROPIC GRASSMANNIANS." Journal of Algebra and Its Applications 04, no. 02 (2005): 211–24. http://dx.doi.org/10.1142/s0219498805001162.

Full text

Abstract:

This paper continues the investigation of the theory of rational solutions of the CYBE for o(n) from the point of view of orders in the corresponding loop algebra, as it was developed in [8]. As suggested by [8], in the case of "singular vertices", we use the list of connected irreducible subgroups of SO(n) locally transitive on the Grassmann manifolds [Formula: see text] of isotropic k-dimensional subspaces in ℂn obtained in [11]. New arguments based on the analysis of the structure of the stationary subalgebra of a generic point allow us to construct several rational solutions in o(7), o(8)

APA, Harvard, Vancouver, ISO, and other styles

30

Peluse, Sarah. "Subsets of without L-shaped configurations." Compositio Mathematica 160, no. 1 (2023): 176–236. http://dx.doi.org/10.1112/s0010437x2300756x.

Full text

Abstract:

Fix a prime $p\geq 11$ . We show that there exists a positive integer $m$ such that any subset of $\mathbb {F}_p^n\times \mathbb {F}_p^n$ containing no nontrivial configurations of the form $(x,y)$ , $(x,y+z)$ , $(x,y+2z)$ , $(x+z,y)$ must have density $\ll 1/\log _{m}{n}$ , where $\log _{m}$ denotes the $m$ -fold iterated logarithm. This gives the first reasonable bound in the multidimensional Szemerédi theorem for a two-dimensional four-point configuration in any setting.

APA, Harvard, Vancouver, ISO, and other styles

31

Pochinka, Olga Vital'evna, Elena Anatol'evna Talanova, and Danila Denisovich Shubin. "Knot as a complete invariant of a Morse-Smale 3-diffeomorphism with four fixed points." Sbornik: Mathematics 214, no. 8 (2023): 1140–52. http://dx.doi.org/10.4213/sm9814e.

Full text

Abstract:

It is known that the topological conjugacy class of a Morse-Smale flows with unique saddle is defined by the equivalence class of the Hopf knot in $\mathbb S^2\times\mathbb S^1$ that is the projection of the one-dimensional saddle separatrix onto the basin of attraction of the nodal point, and the ambient manifold of a diffeomorphism in this class is the 3-sphere. In the present paper a similar result is obtained for gradient-like diffeomorphisms with exactly two saddle points and unique heteroclinic curve. Bibliography: 11 titles.

APA, Harvard, Vancouver, ISO, and other styles

32

Vakhania, N. "Orthogonal Random Vectors and the Hurwitz-Radon-Eckmann Theorem." gmj 1, no. 1 (1994): 99–113. http://dx.doi.org/10.1515/gmj.1994.99.

Full text

Abstract:

Abstract In several different aspects of algebra and topology the following problem is of interest: find the maximal number of unitary antisymmetric operators Ui in with the property UiUj = –UjUi (i ≠ j). The solution of this problem is given by the Hurwitz-Radon-Eckmann formula. We generalize this formula in two directions: all the operators Ui must commute with a given arbitrary self-adjoint operator and H can be infinite-dimensional. Our second main result deals with the conditions for almost sure orthogonality of two random vectors taking values in a finite or infinite-dimensional Hilbert

APA, Harvard, Vancouver, ISO, and other styles

33

Skowroński, A., and G. Zwara. "On Degenerations of Modules With Nondirecting Indecomposable Summands." Canadian Journal of Mathematics 48, no. 5 (1996): 1091–120. http://dx.doi.org/10.4153/cjm-1996-057-4.

Full text

Abstract:

AbstractLet A be a finite dimensional associative K-algebra with an identity over an algebraically closed field K, d a natural number, and modA(d) the affine variety of d-dimensional A-modules. The general linear group Gld(K) acts on modA(d) by conjugation, and the orbits correspond to the isomorphism classes of d-dimensional modules. For M and N in modA(d), N is called a degeneration of M, if TV belongs to the closure of the orbit of M. This defines a partial order ≤deg on modA(d). There has been a work [1], [10], [11], [21] connecting ≤deg with other partial orders ≤ext and ≤deg on modA(d) d

APA, Harvard, Vancouver, ISO, and other styles

34

Mukminov, T. F. "The chain of embedded invariant submodels for conic motions." Multiphase Systems 14, no. 4 (2019): 268–73. http://dx.doi.org/10.21662/mfs2019.4.034.

Full text

Abstract:

The equations of continuum mechanics are invariant in relation to the Galilean group generalized by extention. Its 11-dimensional Lie algebra has many subalgebras, which form the optimal system of dissimilar subalgebras. Subalgebras from the optimal system form the graph of embedded subalgebras. There are many chains of subalgebras in the graph. We consider the chain of embedded subalgebras containing operators of space and time translation, the rotation and uniform extension of all independent variables for the models of the continuous medium mechanics. We choose concordant invariants for eac

APA, Harvard, Vancouver, ISO, and other styles

35

UVAROV, D. V. "KALUZA–KLEIN GAUGE AND MINIMAL INTEGRABLE EXTENSION OF OSp(4|6)/(SO(1, 3) × U(3)) SIGMA-MODEL." International Journal of Modern Physics A 27, no. 21 (2012): 1250118. http://dx.doi.org/10.1142/s0217751x12501187.

Full text

Abstract:

Basing upon experience from performing double-dimensional reduction of the D = 11 supermembrane on AdS 4 × S7 background to Type IIA superstring on AdS 4 × ℂℙ3 we introduce Kaluza–Klein (partial) κ-symmetry gauge as a vanishing condition of the contributions to the D = 11 supervielbein components tangent to D = 10 space–time that are proportional to the differential of the coordinate parametrizing compact 11th space–time dimension identified with the supermembrane worldvolume compact dimension. For AdS 4 × S7 supermembrane Kaluza–Klein gauge removes half Grassmann coordinates associated with e

APA, Harvard, Vancouver, ISO, and other styles

36

ZABUSKY, NORMAN J., ALEXEI D. KOTELNIKOV, YURIY GULAK, and GAOZHU PENG. "Amplitude growth rate of a Richtmyer–Meshkov unstable two-dimensional interface to intermediate times." Journal of Fluid Mechanics 475 (January 25, 2003): 147–62. http://dx.doi.org/10.1017/s0022112002002732.

Full text

Abstract:

The Richtmyer–Meshkov instability in an incompressible and compressible stratified two-dimensional ideal flow is studied analytically and numerically. For the incompressible problem, we initialize a single small-amplitude sinusoidal perturbation of wavelength λ, we compute a series expansion for the amplitude a in powers of t up to t(11) with the MuPAD computer algebra environment. This involves harmonics up to eleven. The simulations are performed with two codes: incompressible, a vortex-in- cell numerical technique which tracks a single discontinuous density interface; and compressible, PPM

APA, Harvard, Vancouver, ISO, and other styles

37

Edwards, D. A. "On a theorem of Dvoretsky, Wald, and Wolfowitz concerning Liapounov Measures." Glasgow Mathematical Journal 29, no. 2 (1987): 205–20. http://dx.doi.org/10.1017/s0017089500006856.

Full text

Abstract:

Let ω be a non-empty set, ℱ a Boolean σ-algebra of subsets of Ω, k a natural number, and let m:ℱ→ℝk be a non-atomic vector measure. Then, by the celebrated theorem of Liapounov [11], the range m[3F] = {m(A): A ε ℱ3F} of m is a compact convex subset of ℝk. This theorem has been generalized in a number of ways. For example Kingman and Robertson [8] and Knowles [9] have shown that, under appropriate conditions, results in the same spirit can be proved for measures taking their values in infinite-dimensional vector spaces. Another type of generalization was obtained by Dvoretsky, Wald and Wolfowit

APA, Harvard, Vancouver, ISO, and other styles

38

BENEDETTI, RICCARDO, and CARLO PETRONIO. "ON ROBERTS’ PROOF OF THE TURAEV-WALKER THEOREM." Journal of Knot Theory and Its Ramifications 05, no. 04 (1996): 427–39. http://dx.doi.org/10.1142/s0218216596000266.

Full text

Abstract:

In this paper we discuss the beautiful idea of Justin Roberts [7] (see also [8]) to re-obtain the Turaev-Viro invariants [11] via skein theory, and re-prove elementarily the Turaev-Walker theorem [9], [10], [13]. We do this by exploiting the presentation of 3-manifolds introduced in [1], [4]. Our presentation supports in a very natural way a formal implementation of Roberts’ idea. More specifically, what we show is how to explicitly extract from an o-graph (the object by which we represent a manifold, see below), one of the framed links in S3 which Roberts uses in the construction of his invar

APA, Harvard, Vancouver, ISO, and other styles

39

Fel'shtyn, Alexander, and Evgenij Troitsky. "Geometry of Reidemeister classes and twisted Burnside theorem." Journal of K-theory 2, no. 3 (2008): 463–506. http://dx.doi.org/10.1017/is008001006jkt028.

Full text

Abstract:

AbstractThe purpose of the present mostly expository paper (based mainly on [17, 18, 40, 16, 11]) is to present the current state of the following conjecture of A. Fel'shtyn and R. Hill [13], which is a generalization of the classical Burnside theorem.Let G be a countable discrete group, φ one of its automorphisms, R(φ) the number of φ-conjugacy (or twisted conjugacy) classes, and S(φ) = #Fix the number of φ-invariant equivalence classes of irreducible unitary representations. If one of R(φ) and S(φ) is finite, then it is equal to the other.This conjecture plays a important role in the theory

APA, Harvard, Vancouver, ISO, and other styles

40

Gil-Rios, Miguel-Angel, Claire Chalopin, Ivan Cruz-Aceves, Juan-Manuel Lopez-Hernandez, Martha-Alicia Hernandez-Gonzalez, and Sergio-Eduardo Solorio-Meza. "Automatic Classification of Coronary Stenosis Using Feature Selection and a Hybrid Evolutionary Algorithm." Axioms 12, no. 5 (2023): 462. http://dx.doi.org/10.3390/axioms12050462.

Full text

Abstract:

In this paper, a novel method for the automatic classification of coronary stenosis based on a feature selection strategy driven by a hybrid evolutionary algorithm is proposed. The main contribution is the characterization of the coronary stenosis anomaly based on the automatic selection of an efficient feature subset. The initial feature set consists of 49 features involving intensity, texture and morphology. Since the feature selection search space was O(2n), being n=49, it was treated as a high-dimensional combinatorial problem. For this reason, different single and hybrid evolutionary algo

APA, Harvard, Vancouver, ISO, and other styles

41

Newton, Paul K., and Takashi Sakajo. "Point vortex equilibria and optimal packings of circles on a sphere." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2129 (2010): 1468–90. http://dx.doi.org/10.1098/rspa.2010.0368.

Full text

Abstract:

We answer the question of whether optimal packings of circles on a sphere are equilibrium solutions to the logarithmic particle interaction problem for values of N =3–12 and 24, the only values of N for which the optimal packing problem (also known as the Tammes problem) has rigorously known solutions. We also address the cases N =13–23 where optimal packing solutions have been computed, but not proven analytically. As in Jamaloodeen & Newton (Jamaloodeen & Newton 2006 Proc. R. Soc. Lond. Ser. A 462 , 3277–3299. ( doi:10.1098/rspa.2006.1731 )), a logarithmic, or point vortex equilibriu

APA, Harvard, Vancouver, ISO, and other styles

42

Klebanov, I. I., O. A. Skaldin, A. Khanna, and G. V. Sorokin. "Group analysis of equilibrium equations for a nematocholesteric." ВЕСТНИК ПЕРМСКОГО УНИВЕРСИТЕТА. ФИЗИКА, no. 2 (2022): 11–14. http://dx.doi.org/10.17072/1994-3598-2022-2-11-14.

Full text

Abstract:

We obtain a Lie algebra admitted by the system of equilibrium equations for a nematocholesteric, which models equilibrium configurations of the elastic field in the one-constant approximation of the continuum theory. In the case of a pure nematic, the system is found to admit a ten-dimensional Lie algebra, while in the case of a cholesteric, the system admits a four-dimensional Lie algebra. In addition, we have received particular analytical solutions of the system of model equations.

APA, Harvard, Vancouver, ISO, and other styles

43

Jelisiejew, Joachim. "Local finite-dimensional Gorenstein k-algebras having Hilbert function (1,5,5,1) are smoothable." Journal of Algebra and Its Applications 13, no. 08 (2014): 1450056. http://dx.doi.org/10.1142/s021949881450056x.

Full text

Abstract:

We consider the question of irreducibility of the Hilbert scheme of points ℋilbdℙn and its Gorenstein locus. This locus is known to be reducible for d ≥ 14. For d ≤ 11 the irreducibility of this locus was proved in the series of papers [G. Casnati and R. Notari, On the Gorenstein locus of some punctual Hilbert schemes, J. Pure Appl. Algebra 213(11) (2009) 2055–2074; On the irreducibility and the singularities of Gorenstein locus of the Punctual Hilbert scheme of degree 10, J. Pure Appl. Algebra 215(6) (2011) 1243–1254; Irreducibility of the Gorenstein locus of the Punctual Hilbert Scheme of de

APA, Harvard, Vancouver, ISO, and other styles

44

DEO, B. B., and L. MAHARANA. "A FOUR-DIMENSIONAL SUPERSTRING FROM THE BOSONIC STRING WITH SOME APPLICATIONS." International Journal of Modern Physics A 20, no. 01 (2005): 99–128. http://dx.doi.org/10.1142/s0217751x05020689.

Full text

Abstract:

A string in four dimensions is constructed by supplementing it with 44 Majorana fermions. The later are represented by 11 vectors in the bosonic representation SO (D-1,1). The central charge is 26. The fermions are grouped in such a way that the resulting action is worldsheet supersymmetric. The energy–momentum and current generators satisfy the super-Virasoro algebra. GSO projections are necessary for proving modular invariance. Space–time supersymmetry algebra is deduced and is substantiated for specific modes of zero mass. The symmetry group of the model can descend to the low energy standa

APA, Harvard, Vancouver, ISO, and other styles

45

Jurasik, Joanna, and Bartosz Łanucha. "Asymmetric truncated Toeplitz operators on finite-dimensional spaces." Operators and Matrices, no. 1 (2017): 245–62. http://dx.doi.org/10.7153/oam-11-17.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Nagy, Béla. "Orthonormal Jordan bases in finite dimensional Hilbert spaces." Operators and Matrices, no. 1 (2015): 189–201. http://dx.doi.org/10.7153/oam-09-11.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Llavona, J. G., and J. A. Jaramillo. "Homomorphisms Between Algebras of Continuous Functions." Canadian Journal of Mathematics 41, no. 1 (1989): 132–62. http://dx.doi.org/10.4153/cjm-1989-007-8.

Full text

Abstract:

We are concerned in this paper with the study of homomorphisms between different algebras of continuous functions, especially the algebras of real functions which are either weakly continuous on bounded sets or weakly uniformly continuous on bounded sets on a Banach space (see definitions below).These spaces of weakly [uniformly] continuous functions appeared in relation with some questions in Infinite-dimensional Approximation Theory (see [4], [6], [11], [12], [13] and [16]); and since the structure of these function spaces is closely related with properties of different weak topologies (the

APA, Harvard, Vancouver, ISO, and other styles

48

Falda, Marco. "Spatial Reasoning with Integrated Qualitative-Metric Fuzzy Constraint Networks." JUCS - Journal of Universal Computer Science 16, no. (11) (2010): 1390–409. https://doi.org/10.3217/jucs-016-11-1390.

Full text

Abstract:

Qualitative Spatial Reasoning can be greatly improved if metric information can be represented and reasoning can be performed on it; moreover, modelling vagueness and uncertainty in both qualitative and metric relations allows reasoning in a more flexible way about data coming from real world. In this paper Rectangle Algebra is integrated with a bi-dimensional Point Algebra by defining a set of 25 Point-Region relations, in this way a Spatial Qualitative Algebra (SQA) among point and regions is obtained. Besides, SQA is extended to deal with uncertain data by means of the Fuzzy Sets Theory. Fu

APA, Harvard, Vancouver, ISO, and other styles

49

Nguyen, Nang Hung Van, Minh Pham, Phuc Do, Cong Pham, and Kanta Tachibana. "Human action recognition method based on conformal geometric algebra and recurrent neural network." Information and Control Systems, no. 5 (October 20, 2020): 2–11. http://dx.doi.org/10.31799/1684-8853-2020-5-2-11.

Full text

Abstract:

Deep Learning (DL) plays an important role in machine learning and artificial intelligence. DL is widely applied in many fields with high dimensional data, including natural language processing, image recognition. High dimensional data can lead to problems in machine learning such as overfitting, degradation of accuracy. To address these issues, some methods, such as Principal Components Analysis (PCA), principal component regression (PCR), Multi-class Linear Discriminant Analysis (MLDA), were proposed to reduce dimensions of the data and computational complexity simultaneously. The drawback o

APA, Harvard, Vancouver, ISO, and other styles

50

Yu-Feng, Zhang. "An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system." Chinese Physics 12, no. 11 (2003): 1194–201. http://dx.doi.org/10.1088/1009-1963/12/11/302.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!