Log in

Relevant bibliographies by topics / Line algebras / Journal articles

To see the other types of publications on this topic, follow the link: Line algebras.

Journal articles on the topic 'Line algebras'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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 'Line algebras.'

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

Burban, Igor, and Olivier Schiffmann. "The composition Hall algebra of a weighted projective line." Journal für die reine und angewandte Mathematik (Crelles Journal) 2013, no. 679 (June 2013): 75–124. http://dx.doi.org/10.1515/crelle.2012.023.

Full text

Abstract:

Abstract In this article, we deal with properties of the reduced Drinfeld double of the composition subalgebra of the Hall algebra of the category of coherent sheaves on a weighted projective line. This study is motivated by applications in the theory of quantized enveloping algebras of some Lie algebras. We obtain a new realization of the quantized enveloping algebras of affine Lie algebras of simply-laced types as well as some new embeddings between them. Moreover, our approach allows to derive new results on the structure of the quantized enveloping algebras of the toroidal algebras of types D4(1, 1), E6(1, 1), E7(1, 1) and E8(1, 1). In particular, our method leads to a construction of a modular action and allows to define a PBW-type basis for that classes of algebras.

APA, Harvard, Vancouver, ISO, and other styles

2

Dales, H. G., and J. P. McClure. "Nonstandard Ideals in Radical Convolution Algebras on a Half-Line." Canadian Journal of Mathematics 39, no. 2 (April 1, 1987): 309–21. http://dx.doi.org/10.4153/cjm-1987-014-8.

Full text

Abstract:

This note is about the interplay between two classes of radical Banach algebras, and we begin by describing the algebras in question.A weight sequence is a positive sequence w = (wn) defined on Z+ (the non-negative integers) and satisfying w0 = 1 and wm+n ≦ wmwn for all m and n in Z+. For such a sequence w, the Banach spaceis a Banach algebra with respect to the convolution product, defined by

APA, Harvard, Vancouver, ISO, and other styles

3

Knibbeler, Vincent, Sara Lombardo, and Jan A. Sanders. "Hereditary automorphic Lie algebras." Communications in Contemporary Mathematics 22, no. 08 (December 20, 2019): 1950076. http://dx.doi.org/10.1142/s0219199719500767.

Full text

Abstract:

We show that automorphic Lie algebras which contain a Cartan subalgebra with a constant-spectrum, called hereditary, are completely described by 2-cocycles on a classical root system taking only two different values. This observation suggests a novel approach to their classification. By determining the values of the cocycles on opposite roots, we obtain the Killing form and the abelianization of the automorphic Lie algebra. The results are obtained by studying equivariant vectors on the projective line. As a byproduct, we describe a method to reduce the computation of the infinite-dimensional space of said equivariant vectors to a finite-dimensional linear computation and the determination of the ring of automorphic functions on the projective line.

APA, Harvard, Vancouver, ISO, and other styles

4

Galé, José E., and Antoni Wawrzynczyk. "Standard ideals in weighted algebras of Korenblyum and Wiener types." MATHEMATICA SCANDINAVICA 108, no. 2 (June 1, 2011): 291. http://dx.doi.org/10.7146/math.scand.a-15173.

Full text

Abstract:

We introduce two types of Banach algebras of analytic functions on the unit disc which can be seen as weighted versions of closed primary ideals of the Korenblyum and (analytic) Wiener algebras, respectively. Such types of algebras arise in connection with convolution Banach algebras of Sobolev type, on the positive half-line, and their discrete analogues defined in terms of higher order differences. We show that all closed ideals are standard for algebras in the first class, and that closed ideals with countable hull are standard in algebras of the second class.

APA, Harvard, Vancouver, ISO, and other styles

5

Brzeziński, Tomasz. "Circle and Line Bundles Over Generalized Weyl Algebras." Algebras and Representation Theory 19, no. 1 (August 30, 2015): 57–69. http://dx.doi.org/10.1007/s10468-015-9562-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Falk, Michael. "Line-Closed Matroids, Quadratic Algebras, and Formal Arrangments." Advances in Applied Mathematics 28, no. 2 (February 2002): 250–71. http://dx.doi.org/10.1006/aama.2001.0780.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Alami, M., and D. Zhani. "On hereditary interval algebras." International Journal of Mathematics and Mathematical Sciences 2004, no. 35 (2004): 1881–85. http://dx.doi.org/10.1155/s0161171204306162.

Full text

Abstract:

We show that each hereditary interval algebra has a countable density and not conversely. Moreover, we show that, for an interval algebra, having countable density and being subalgebra of the interval algebra over the real line are equivalent statements.

APA, Harvard, Vancouver, ISO, and other styles

8

PEDERSEN, THOMAS VILS. "WEAK-STAR PROPERTIES OF HOMOMORPHISMS FROM WEIGHTED CONVOLUTION ALGEBRAS ON THE HALF-LINE." Journal of the Australian Mathematical Society 89, no. 1 (July 20, 2010): 75–90. http://dx.doi.org/10.1017/s144678871000025x.

Full text

Abstract:

AbstractLet L1(ω) be the weighted convolution algebra L1ω(ℝ+) on ℝ+ with weight ω. Grabiner recently proved that, for a nonzero, continuous homomorphism Φ:L1(ω1)→L1(ω2), the unique continuous extension $\widetilde {\Phi }:M(\omega _1)\to M(\omega _2)$ to a homomorphism between the corresponding weighted measure algebras on ℝ+ is also continuous with respect to the weak-star topologies on these algebras. In this paper we investigate whether similar results hold for homomorphisms from L1(ω) into other commutative Banach algebras. In particular, we prove that for the disc algebra $A(\overline {\mathbb D})$ every nonzero homomorphism $\Phi :L^1({\omega })\to A(\overline {\mathbb D})$ extends uniquely to a continuous homomorphism $\widetilde {\Phi }:M(\omega )\to H^{\infty }(\mathbb D)$ which is also continuous with respect to the weak-star topologies. Similarly, for a large class of Beurling algebras A+v on $\overline {\mathbb D}$ (including the algebra of absolutely convergent Taylor series on $\overline {\mathbb D}$) we prove that every nonzero homomorphism Φ:L1(ω)→A+v extends uniquely to a continuous homomorphism $\widetilde {\Phi }:M(\omega )\to A^+_v$ which is also continuous with respect to the weak-star topologies.

APA, Harvard, Vancouver, ISO, and other styles

9

Dales, H. G., and H. V. Dedania. "Weighted convolution algebras on subsemigroups of the real line." Dissertationes Mathematicae 459 (2009): 1–60. http://dx.doi.org/10.4064/dm459-0-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Liguori, Antonio, Mihail Mintchev, and Liu Zhao. "Boundary Exchange Algebras and Scattering on the Half Line." Communications in Mathematical Physics 194, no. 3 (June 1, 1998): 569–89. http://dx.doi.org/10.1007/s002200050369.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Ellinas, Demosthenes, and Ioannis Tsohantjis. "Random Walk and Diffusion on a Smash Line Algebra." Infinite Dimensional Analysis, Quantum Probability and Related Topics 06, no. 02 (June 2003): 245–64. http://dx.doi.org/10.1142/s0219025703001158.

Full text

Abstract:

Working within the framework of Hopf algebras, a random walk and the associated diffusion equation are constructed on a space that is algebraically described as the merging of the real line algebra with the anyonic line algebra. Technically this merged structure is a smash algebra, namely an algebra resulting from a braided tensoring of real with anyonic line algebras. The motivation of introducing the smashing results from the necessity of having noncommuting increments in the random walk. Based on the observable-state duality provided by the underlying Hopf structure, the construction is cast into two dual forms: one using functionals determined by density probability functions and the other using the associated Markov transition operator. The ensuing diffusion equation is shown to possess triangular matrix realization. The study is completed by the incorporation of Hamiltonian dynamics in the above random walk model, and by the construction of the dynamical equation obeyed by statistical moments of the problem for generic entangled density functions.

APA, Harvard, Vancouver, ISO, and other styles

12

IWAKI, E., E. JESPERS, S. O. JURIAANS, and A. C. SOUZA FILHO. "HYPERBOLICITY OF SEMIGROUP ALGEBRAS II." Journal of Algebra and Its Applications 09, no. 06 (December 2010): 871–76. http://dx.doi.org/10.1142/s0219498810004270.

Full text

Abstract:

In 1996, Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki–Juriaans–Souza Filho continued this line of research by partially classifying the finite semigroups whose rational semigroup algebra contains a ℤ-order with hyperbolic unit group. In this paper, we complete this classification and give an easy proof that deals with all finite semigroups.

APA, Harvard, Vancouver, ISO, and other styles

13

Galé, José E., and Antoni Wawrzyńczyk. "Standard ideals in convolution Sobolev algebras on the half-line." Colloquium Mathematicum 124, no. 1 (2011): 23–34. http://dx.doi.org/10.4064/cm124-1-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Caranti, A. "Thin groups of prime-power order and thin line algebras." Quarterly Journal of Mathematics 47, no. 187 (September 1, 1996): 279–96. http://dx.doi.org/10.1093/qjmath/47.187.279.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Konter, Johan, and Alina Vdovina. "Classifying Polygonal Algebras by theirK0-Group." Proceedings of the Edinburgh Mathematical Society 58, no. 2 (February 13, 2015): 485–97. http://dx.doi.org/10.1017/s0013091514000194.

Full text

Abstract:

AbstractWe prove that every incidence graph of a finite projective plane allows a partitioning into incident point-line pairs. This is used to determine the order of the identity in theK0-group of so-called polygonal algebras associated with cocompact group actions onÃ2-buildings with three orbits. TheseC*-algebras are classified by theK0-group and the classof the identity inK0. To be more precise, we show that 2(q− 1)= 0, whereqis the order of the links of the building. Furthermore, ifq= 22l−1withl∈ ℤ, then the order ofisq− 1.

APA, Harvard, Vancouver, ISO, and other styles

16

Górajska, Magdalena, and Jacek Hejduk. "Pointwise Density Topology with Respect to Admissible σ-Algebras." Tatra Mountains Mathematical Publications 55, no. 1 (August 1, 2013): 77–83. http://dx.doi.org/10.2478/tmmp-2013-0021.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Spacek, Pavel, Marie-Ange Manier, and Abdellah El Moudni. "Control of an electroplating line in the max and min algebras." International Journal of Systems Science 30, no. 7 (January 1999): 759–78. http://dx.doi.org/10.1080/002077299292065.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Thomas, Marc P. "Weighted Convolution Algebras Associated with Subsemigroups of the Positive Real Line." Journal of the London Mathematical Society s2-32, no. 2 (October 1985): 283–96. http://dx.doi.org/10.1112/jlms/s2-32.2.283.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Pianzola, A. "Affine Kac-Moody Lie algebras as torsors over the punctured line." Indagationes Mathematicae 13, no. 2 (June 2002): 249–57. http://dx.doi.org/10.1016/s0019-3577(02)80008-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Mykytyuk, Yaroslav, and Nataliia Sushchyk. "Inverse scattering problems for half-line Schrödinger operators and Banach algebras." Opuscula Mathematica 38, no. 5 (2018): 719. http://dx.doi.org/10.7494/opmath.2018.38.5.719.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Ludkovsky, Sergey V. "Line Integration of Dirac Operators Over Octonions and Cayley-Dickson Algebras." Computational Methods and Function Theory 12, no. 1 (March 21, 2012): 279–306. http://dx.doi.org/10.1007/bf03321828.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Feichtinger, Hans G., and A. Turan Gürkanli. "On a family of weighted convolution algebras." International Journal of Mathematics and Mathematical Sciences 13, no. 3 (1990): 517–25. http://dx.doi.org/10.1155/s0161171290000758.

Full text

Abstract:

Continuing a line of research initiated by Larsen, Liu and Wang [12], Martin and Yap [13], Gürkanli [15], and influenced by Reiter's presentation of Beurling and Segal algebras in Reiter [2,10] this paper presents the study of a family of Banach ideals of Beurling algebrasLw1(G),Ga locally compact Abelian group. These spaces are defined by weightedLp-conditions of their Fourier transforms. In the first section invariance properties and asymptotic estimates for the translation and modulation operators are given. Using these it is possible to characterize inclusions in section 3 and to show that two spaces of this type coincide if and only if their parameters are equal. In section 4 the existence of approximate identities in these algebras is established, from which, among other consequences, the bijection between the closed ideals of these algebras and those of the corresponding Beurling algebra is derived.

APA, Harvard, Vancouver, ISO, and other styles

23

BONORA, L., and F. TOPPAN. "GLOBAL CHIRAL VERTEX OPERATORS ON RIEMANN SURFACES." Reviews in Mathematical Physics 04, no. 03 (September 1992): 425–49. http://dx.doi.org/10.1142/s0129055x9200011x.

Full text

Abstract:

Using Krichever-Novikov bosonic oscillators we introduce chiral vertex operators on a higher genus Riemann surface Σ. These are essentially the normal-ordered exponential of line integrals of connections in a suitable line bundle over Σ. We discuss globally defined affine algebras in Σ and use chiral vertices to construct level 1 representations of the latter.

APA, Harvard, Vancouver, ISO, and other styles

24

CHOI, YEMON. "DIRECTLY FINITE ALGEBRAS OF PSEUDOFUNCTIONS ON LOCALLY COMPACT GROUPS." Glasgow Mathematical Journal 57, no. 3 (December 17, 2014): 693–707. http://dx.doi.org/10.1017/s0017089514000573.

Full text

Abstract:

AbstractAn algebraAis said to be directly finite if each left-invertible element in the (conditional) unitization ofAis right invertible. We show that the reduced group C*-algebra of a unimodular group is directly finite, extending known results for the discrete case. We also investigate the corresponding problem for algebras ofp-pseudofunctions, showing that these algebras are directly finite ifGis amenable and unimodular, or unimodular with the Kunze–Stein property. An exposition is also given of how existing results from the literature imply thatL1(G) is not directly finite whenGis the affine group of either the real or complex line.

APA, Harvard, Vancouver, ISO, and other styles

25

İnceboz, Hülya, and Berna Arslan. "On homological properties of some module derivations on Banach algebras." Boletim da Sociedade Paranaense de Matemática 34, no. 2 (July 13, 2015): 169–88. http://dx.doi.org/10.5269/bspm.v34i2.26900.

Full text

Abstract:

In recent years, lots of papers have been published on module amenability. In this paper, our main aim is to study the homological properties of various module derivations and prove some results about module amenability. So this paper continous a line investigation in [3], [4] for Banach algebras.

APA, Harvard, Vancouver, ISO, and other styles

26

Patel, Deepam, Tobias Schmidt, and Matthias Strauch. "LOCALLY ANALYTIC REPRESENTATIONS OF VIA SEMISTABLE MODELS OF." Journal of the Institute of Mathematics of Jussieu 18, no. 1 (January 12, 2017): 125–87. http://dx.doi.org/10.1017/s1474748016000396.

Full text

Abstract:

In this paper we study certain sheaves of $p$-adically complete rings of differential operators on semistable models of the projective line over the ring of integers in a finite extension $L$ of $\mathbb{Q}_{p}$. The global sections of these sheaves can be identified with (central reductions of) analytic distribution algebras of wide open congruence subgroups. It is shown that the global sections functor furnishes an equivalence between the categories of coherent module sheaves and finitely presented modules over the distribution algebras. Using the work of M. Emerton, we then describe admissible representations of $\text{GL}_{2}(L)$ in terms of sheaves on the projective limit of these formal schemes. As an application, we show that representations coming from certain equivariant line bundles on Drinfeld’s first étale covering of the $p$-adic upper half plane are admissible.

APA, Harvard, Vancouver, ISO, and other styles

27

Givant, Steven. "Inequivalent representations of geometric relation algebras." Journal of Symbolic Logic 68, no. 1 (March 2003): 267–310. http://dx.doi.org/10.2178/jsl/1045861514.

Full text

Abstract:

AbstractIt is shown that the automorphism group of a relation algebra constructed from a projective geometry P is isomorphic to the collineation group of P. Also, the base automorphism group of a representation of over an affine geometry D is isomorphic to the quotient of the collineation group of D by the dilatation subgroup. Consequently, the total number of inequivalent representations of , for finite geometries P, is the sum of the numberswhere D ranges over a list of the non-isomorphic affine geometries having P as their geometry at infinity. This formula is used to compute the number of inequivalent representations of relation algebras constructed over projective lines of order at most 10. For instance, the relation algebra constructed over the projective line of order 9 has 56,700 mutually inequivalent representations.

APA, Harvard, Vancouver, ISO, and other styles

28

Bailet, Pauline, and Masahiko Yoshinaga. "Degeneration of Orlik–Solomon algebras and Milnor fibers of complex line arrangements." Geometriae Dedicata 175, no. 1 (November 7, 2014): 49–56. http://dx.doi.org/10.1007/s10711-014-0027-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Bodzenta, Agnieszka. "Differential Graded Quivers of Smooth Rational Surfaces." Proceedings of the Edinburgh Mathematical Society 60, no. 4 (December 15, 2016): 859–76. http://dx.doi.org/10.1017/s0013091516000493.

Full text

Abstract:

AbstractLetXbe a smooth rational surface. We calculate a differential graded (DG) quiver of a full exceptional collection of line bundles onXobtained by an augmentation from a strong exceptional collection on the minimal model ofX. In particular, we calculate canonical DG algebras of smooth toric surfaces.

APA, Harvard, Vancouver, ISO, and other styles

30

MATSUMOTO, KENGO, and HIROKI MATUI. "TOPOLOGICAL FULL GROUPS OF -ALGEBRAS ARISING FROM -EXPANSIONS." Journal of the Australian Mathematical Society 97, no. 2 (July 17, 2014): 257–87. http://dx.doi.org/10.1017/s1446788714000214.

Full text

Abstract:

AbstractWe introduce a family of infinite nonamenable discrete groups as an interpolation of the Higman–Thompson groups by using the topological full groups of the groupoids defined by $\beta $-expansions of real numbers. They are regarded as full groups of certain interpolated Cuntz algebras, and realized as groups of piecewise-linear functions on the unit interval in the real line if the $\beta $-expansion of $1$ is finite or ultimately periodic. We also classify them by a number-theoretical property of $\beta $.

APA, Harvard, Vancouver, ISO, and other styles

31

LIN, HUAXIN. "EXTENSIONS BY C*-ALGEBRAS WITH REAL RANK ZERO." International Journal of Mathematics 04, no. 02 (April 1993): 231–52. http://dx.doi.org/10.1142/s0129167x93000133.

Full text

Abstract:

We show that all trivial (unital and essential) extensions of C (X) by a σ-unital purely infinite simple C*-algebra A with K1(A) = 0 are unitarily equivalent, provided that X is homeomorphic to a compact subset of the real line or the unit circle. Therefore all (unital and essential) extensions of such can be completely determined by Ext(B, A). An invariant is introduced to classify all such trivial (unital and essential) extensions of C (X) by a σ-unital C*-algebra A with the properties that RR (M (A)) = 0 and C (A) is simple.

APA, Harvard, Vancouver, ISO, and other styles

32

Bordemann, Martin, Nikolai Neumaier, Markus J. Pflaum, and Stefan Waldmann. "On representations of star product algebras over cotangent spaces on Hermitian line bundles." Journal of Functional Analysis 199, no. 1 (April 2003): 1–47. http://dx.doi.org/10.1016/s0022-1236(02)00110-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Rujing, Dou, Xu Fan, Xiao Jie, and Ruan Shiquan. "The category of coherent sheaves over a weighted projective line and loop algebras." SCIENTIA SINICA Mathematica 48, no. 11 (October 25, 2018): 1551. http://dx.doi.org/10.1360/n012018-00011.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Manon, Christopher. "Gorenstein semigroup algebras of weighted trees and ordered points on the projective line." Journal of Algebra 354, no. 1 (March 2012): 110–20. http://dx.doi.org/10.1016/j.jalgebra.2011.12.025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

INNAMI, NOBUHIRO, YOE ITOKAWA, and KATSUHIRO SHIOHAMA. "COMPLETE REAL HYPERSURFACES AND SPECIAL 𝕂-LINE BUNDLES IN 𝕂-HYPERBOLIC SPACES." International Journal of Mathematics 24, no. 10 (September 2013): 1350082. http://dx.doi.org/10.1142/s0129167x13500821.

Full text

Abstract:

Using the geometry of geodesics, we discuss the global aspects of complete real hypersurfaces in hyperbolic spaces of constant holomorphic sectional curvature [Formula: see text] over any division algebra 𝕂. Our assumption is that the shape operator and the curvature transformation with respect to the normal unit have the same eigenspaces. Note that we do not assume constancy of the principal curvatures. Under this assumption, we give a complete global classification of such hypersurfaces. Since the argument is purely geometric, we need not vary the argument for different base algebras. The foliations of [Formula: see text] with totally geodesic leaves called 𝕂-lines play an important role.

APA, Harvard, Vancouver, ISO, and other styles

36

Wang, Hwai-chiuan. "On the Fourier transforms." Bulletin of the Australian Mathematical Society 31, no. 2 (April 1985): 171–79. http://dx.doi.org/10.1017/s0004972700004664.

Full text

Abstract:

In this article we give a new proof of the theorem that a positive even convex function on the real line, which vanishes at infinity, is the Fourier transform of an integrable function. Related results in several variables are also proved. As an application of our results we solve the factorization problem of Sobolev algebras.

APA, Harvard, Vancouver, ISO, and other styles

37

TOURTCHINE, V. "ON THE OTHER SIDE OF THE BIALGEBRA OF CHORD DIAGRAMS." Journal of Knot Theory and Its Ramifications 16, no. 05 (May 2007): 575–629. http://dx.doi.org/10.1142/s0218216507005397.

Full text

Abstract:

In this paper we describe complexes whose homologies are naturally isomorphic to the first term of the Vassiliev spectral sequence computing (co)homology of the spaces of long knots in ℝd, d ≥ 3. The first term of the Vassiliev spectral sequence is concentrated in some angle of the second quadrant. In homological case the lower line of this term is the bialgebra of chord diagrams (or its superanalog if d is even). We prove in this paper that the groups of the upper line are all trivial. In the same bigradings we compute the homology groups of the complex spanned only by strata of immersions in the discriminant (maps having only self-intersections). We interpret the obtained groups as subgroups of the (co)homology groups of the double loop space of a (d - 1)-dimensional sphere. In homological case the last complex is the normalized Hochschild complex of the Poisson or Gerstenhaber (depending on parity of d) algebras operad. The upper line bigradings are spanned by the operad of Lie algebras. To describe the cycles in these bigradings, we introduce new homological operations on Hochschild complexes. We show in future work that these operations are in fact the Dyer–Lashof–Cohen operations induced by the action of the singular chains operad of little squares on Hochschild complexes.

APA, Harvard, Vancouver, ISO, and other styles

38

JIMBO, MICHIO, TETSUJI MIWA, and YASUHIRO OHTA. "STRUCTURE OF THE SPACE OF STATES IN RSOS MODELS." International Journal of Modern Physics A 08, no. 08 (March 30, 1993): 1457–77. http://dx.doi.org/10.1142/s0217751x93000618.

Full text

Abstract:

The restricted solid-on-solid models in the antiferromagnetic regime are studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation-theoretical picture is presented for the structure of the space of states. The local operators and the creation/annihilation operators of quasiparticles are defined using vertex operators, and their commutation relations are calculated.

APA, Harvard, Vancouver, ISO, and other styles

39

Bruzzo, Ugo, Igor Mencattini, Vladimir N. Rubtsov, and Pietro Tortella. "Nonabelian holomorphic Lie algebroid extensions." International Journal of Mathematics 26, no. 05 (May 2015): 1550040. http://dx.doi.org/10.1142/s0129167x15500408.

Full text

Abstract:

We classify nonabelian extensions of Lie algebroids in the holomorphic category. Moreover we study a spectral sequence associated to any such extension. This spectral sequence generalizes the Hochschild–Serre spectral sequence for Lie algebras to the holomorphic Lie algebroid setting. As an application, we show that the hypercohomology of the Atiyah algebroid of a line bundle has a natural Hodge structure.

APA, Harvard, Vancouver, ISO, and other styles

40

Ford, T. J. "Division algebras that ramify only on a plane nodal cubic curve plus a line." Journal of Pure and Applied Algebra 188, no. 1-3 (April 2004): 117–26. http://dx.doi.org/10.1016/j.jpaa.2003.10.015.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Vancliff, M. "Quadratic Algebras Associated with the Union of a Quadric and a Line in P3." Journal of Algebra 165, no. 1 (April 1994): 63–90. http://dx.doi.org/10.1006/jabr.1994.1098.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Hirshberg, Ilan, and Jianchao Wu. "The nuclear dimension of C⁎-algebras associated to topological flows and orientable line foliations." Advances in Mathematics 386 (August 2021): 107798. http://dx.doi.org/10.1016/j.aim.2021.107798.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

AN HUEF, ASTRID, MARCELO LACA, IAIN RAEBURN, and AIDAN SIMS. "KMS states on the -algebras of reducible graphs." Ergodic Theory and Dynamical Systems 35, no. 8 (August 11, 2014): 2535–58. http://dx.doi.org/10.1017/etds.2014.52.

Full text

Abstract:

We consider the dynamics on the $C^{\ast }$-algebras of finite graphs obtained by lifting the gauge action to an action of the real line. Enomoto, Fujii and Watatani [KMS states for gauge action on ${\mathcal{O}}_{A}$. Math. Japon.29 (1984), 607–619] proved that if the vertex matrix of the graph is irreducible, then the dynamics on the graph algebra admits a single Kubo–Martin–Schwinger (KMS) state. We have previously studied the dynamics on the Toeplitz algebra, and explicitly described a finite-dimensional simplex of KMS states for inverse temperatures above a critical value. Here we study the KMS states for graphs with reducible vertex matrix, and for inverse temperatures at and below the critical value. We prove a general result which describes all the KMS states at a fixed inverse temperature, and then apply this theorem to a variety of examples. We find that there can be many patterns of phase transition, depending on the behaviour of paths in the underlying graph.

APA, Harvard, Vancouver, ISO, and other styles

44

Carey, A., M. Farber, and V. Mathai. "Correspondences, von Neumann Algebras and Holomorphic L2 Torsion." Canadian Journal of Mathematics 52, no. 4 (August 1, 2000): 695–736. http://dx.doi.org/10.4153/cjm-2000-030-7.

Full text

Abstract:

AbstractGiven a holomorphic Hilbertian bundle on a compact complex manifold, we introduce the notion of holomorphic L2 torsion, which lies in the determinant line of the twisted L2 Dolbeault cohomology and represents a volume element there. Here we utilise the theory of determinant lines of Hilbertian modules over finite von Neumann algebras as developed in [CFM]. This specialises to the Ray-Singer-Quillen holomorphic torsion in the finite dimensional case. We compute ametric variation formula for the holomorphic L2 torsion, which shows that it is not in general independent of the choice of Hermitian metrics on the complex manifold and on the holomorphic Hilbertian bundle, which are needed to define it. We therefore initiate the theory of correspondences of determinant lines, that enables us to define a relative holomorphic L2 torsion for a pair of flat Hilbertian bundles, which we prove is independent of the choice of Hermitian metrics on the complex manifold and on the flat Hilbertian bundles.

APA, Harvard, Vancouver, ISO, and other styles

45

Kato, Syu. "Frobenius Splitting of Thick Flag Manifolds of Kac–Moody Algebras." International Mathematics Research Notices 2020, no. 17 (July 24, 2018): 5401–27. http://dx.doi.org/10.1093/imrn/rny174.

Full text

Abstract:

Abstract We explain that the Plücker relations provide the defining equations of the thick flag manifold associated to a Kac–Moody algebra. This naturally transplants the result of Kumar–Mathieu–Schwede about the Frobenius splitting of thin flag varieties to the thick case. As a consequence, we provide a description of the space of global sections of a line bundle of a thick Schubert variety as conjectured in Kashiwara–Shimozono [13]. This also yields the existence of a compatible basis of thick Demazure modules and the projective normality of the thick Schubert varieties.

APA, Harvard, Vancouver, ISO, and other styles

46

Gurevich, Igor, and Vera Yashina. "Descriptive Image Analysis. Foundations and Descriptive Image Algebras." International Journal of Pattern Recognition and Artificial Intelligence 33, no. 11 (October 2019): 1940018. http://dx.doi.org/10.1142/s0218001419400184.

Full text

Abstract:

The paper is devoted to Descriptive Image Analysis (DA) — a leading line of the modern mathematical theory of image analysis. DA is a logically organized set of descriptive methods, mathematical objects, and models and representations aimed at analyzing and evaluating the information represented in the form of images, as well as for automating the extraction from images of knowledge and data needed for intelligent decision-making. The basic idea of DA consists of embedding all processes of analysis (processing, recognition, understanding) of images into an image formalization space and reducing it to (1) construction of models/representations/formalized descriptions of images; (2) construction of models/representations/formalized descriptions of transformations over models and representations of images. We briefly discuss the basic ideas, methodological principles, mathematical methods, objects, and components of DA and the basic results determining the current state of the art in the field. Image algebras (IA) are considered in the context of a unified language for describing mathematical objects and operations used in image analysis (the standard IA by Ritter and the descriptive IA by Gurevich).

APA, Harvard, Vancouver, ISO, and other styles

47

Grabiner, Sandy. "Homomorphisms of the algebra of locally integrable functions on the half line." Journal of the Australian Mathematical Society 81, no. 2 (October 2006): 253–78. http://dx.doi.org/10.1017/s1446788700015871.

Full text

Abstract:

AbstractLet φ be a continuous nonzero homomorphism of the convolution algebra L1loc(R+) and also the unique extension of this homomorphism to Mloc(R+). We show that the map φis continuous in the weak* and strong opertor topologies on Mloc, considered as the dual space of Cc(R+) and as the multiplier algebra of L1loc. Analogous results are proved for homomorphism from L1 [0, a) to L1 [0, b). For each convolution algebra L1 (ω1), φ restricts to a continuous homomorphism from some L1 (ω1) to some L1 (ω2), and, for each sufficiently large L1 (ω2), φ restricts to a continuous homomorphism from some L1 (ω1) to L1 (ω2). We also determine which continuous homomorphisms between weighted convolution algebras extend to homomorphisms of L1loc. We also prove results on convergent nets, continuous semigroups, and bounded sets in Mloc that we need in our study of homomorphisms.

APA, Harvard, Vancouver, ISO, and other styles

48

Afsar, Zahra, Astrid an Huef, and Iain Raeburn. "KMS states on C*-algebras associated to local homeomorphisms." International Journal of Mathematics 25, no. 08 (July 2014): 1450066. http://dx.doi.org/10.1142/s0129167x14500669.

Full text

Abstract:

For every Hilbert bimodule over a C*-algebra, there are natural gauge actions of the circle on the associated Toeplitz algebra and Cuntz–Pimsner algebra, and hence natural dynamics obtained by lifting these gauge actions to actions of the real line. We study the KMS states of these dynamics for a family of bimodules associated to local homeomorphisms on compact spaces. For inverse temperatures larger than a certain critical value, we find a large simplex of KMS states on the Toeplitz algebra, and we show that all KMS states on the Cuntz–Pimsner algebra have inverse temperature at most this critical value. We illustrate our results by considering the backward shift on the one-sided path space of a finite graph, where we can use recent results about KMS states on graph algebras to see what happens below the critical value. Our results about KMS states on the Cuntz–Pimsner algebra of the shift show that recent constraints on the range of inverse temperatures obtained by Thomsen are sharp.

APA, Harvard, Vancouver, ISO, and other styles

49

Burgos, María, Francisco J. Fernández-Polo, Jorge J. Garcés, and Antonio M. Peralta. "ORTHOGONALITY PRESERVERS REVISITED." Asian-European Journal of Mathematics 02, no. 03 (September 2009): 387–405. http://dx.doi.org/10.1142/s1793557109000327.

Full text

Abstract:

We obtain a complete characterization of all orthogonality preserving operators from a JB *-algebra to a JB *-triple. If T : J → E is a bounded linear operator from a JB *-algebra (respectively, a C *-algebra) to a JB *-triple and h denotes the element T**(1), then T is orthogonality preserving, if and only if, T preserves zero-triple-products, if and only if, there exists a Jordan *-homomorphism [Formula: see text] such that S(x) and h operator commute and T(x) = h•r(h) S(x), for every x ∈ J, where r(h) is the range tripotent of h, [Formula: see text] is the Peirce-2 subspace associated to r(h) and •r(h) is the natural product making [Formula: see text] a JB *-algebra. This characterization culminates the description of all orthogonality preserving operators between C *-algebras and JB *-algebras and generalizes all the previously known results in this line of study.

APA, Harvard, Vancouver, ISO, and other styles

50

De Mari, Filippo, and Krzysztof Nowak. "Analysis of the affine transformations of the time-frequency plane." Bulletin of the Australian Mathematical Society 63, no. 2 (April 2001): 195–218. http://dx.doi.org/10.1017/s0004972700019274.

Full text

Abstract:

We consider two aspects of the action of the extended metaplectic representation of the groupGof affine, measure and orientation preserving maps of the time-frequency plane onL2functions on the line. On the one hand, we list, up to equivalence, all possible reproducing formulas that arise by restricting the representation to connected Lie subgroups ofG.On the other hand, we describe, in terms of Weyl calculus, the commutative von Neumann algebras generated by restriction to one-parameter subgroups.

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!