Results 11 to 20 of about 1,593,546 (194)
Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Finite dimensional modular Lie superalgebras over algebraically closed fields with indecomposable Cartan matrices are classified under some technical, most probably inessential, hypotheses.
Sofiane Bouarroudj +2 more
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The Cartan matrix and enumerative calculus [PDF]
Journal of Symbolic Computation, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haibao Duan, Xuan Zhao 0003, Xuezhi Zhao
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Cyclic homology and the determinant of the Cartan matrix [PDF]
Journal of Pure and Applied Algebra, 1992 Let \(\Lambda = \bigoplus^ \infty_{i = 0} \Lambda_ i\) be a graded algebra over the field \(K\) and let \(R\) denote the ideal \(\bigoplus^ \infty_{i = 1} \Lambda_ i\). Each \(\Lambda_ i\) should be finite dimensional over \(K\), and \(D = \Lambda_ 0 = D_ 1 \times \cdots \times D_ m\) should be a product of finitely many finite-dimensional separable ...
Igusa, Kiyoshi
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On the Cartan decomposition for classical random matrix ensembles [PDF]
Journal of Mathematical Physics, 2022 We complete Dyson’s dream by cementing the links between symmetric spaces and classical random matrix ensembles. Previous work has focused on a one-to-one correspondence between symmetric spaces and many but not all of the classical random matrix ensembles. This work shows that we can completely capture all of the classical random matrix ensembles from
Alan Edelman, Sungwoo Jeong
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The $(q,t)$-Cartan matrix specialized at $q=1$
, 2022 The $(q,t)$-Cartan matrix specialized at $t=1$, usually called the quantum Cartan matrix, has deep connections with (i) the representation theory of its untwisted quantum affine algebra, and (ii) quantum unipotent coordinate algebra, root system and quantum cluster algebra of kew-symmetric type.
Kashiwara, Masaki, Oh, Se-jin
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$q$-Coxeter matrix and $q$-Cartan matrix for a homogeneous bound quiver
, 2023 22 ...
Yang, Shilin
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Cartan matrix, distinguished basis and Toda's systems
, 2017 Dans cette thèse, nous nous intéressons à plusieurs aspects des systèmes de racines des algèbres de Lie simples. Dans un premier temps, nous étudions les coordonnées des vecteurs propres des matrices de Cartan. Nous commençons par généraliser les travaux de physiciens qui ont montré que les masses des particules dans la théorie des champs de Toda ...
Brillon, Laura
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Defining Relations for Lie Superalgebras with Cartan Matrix [PDF]
Czechoslovak Journal of Physics, 2001 We completely describe presentations of Lie superalgebras with Cartan matrix if they are simple Z-graded of polynomial growth. Such matrices can be neither integer nor symmetrizable. There are non-Serre relations encountered. In certain cases there are infinitely many relations.
Grozman, Pavel, Leites, Dimitry
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Nonrelativistic string theory and T-duality
Journal of High Energy Physics, 2018 Nonrelativistic string theory in flat spacetime is described by a two-dimensional quantum field theory with a nonrelativistic global symmetry acting on the worldsheet fields. Nonrelativistic string theory is unitary, ultraviolet complete and has a string
Eric Bergshoeff, Jaume Gomis, Ziqi Yan
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On the Cartan matrix of Mackey algebras
, 2009 Let k be a field of characteristic p>0, and G be a finite group. The first result of this paper is an explicit formula for the determinant of the Cartan matrix of the Mackey algebra mu_k(G) of G over k.
Bouc, Serge
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