Results 21 to 30 of about 67,761 (247)
Symplectic Reflection Algebras and Affine Lie Algebras [PDF]
Moscow Mathematical Journal, 2012 26 pages, latex; in the new version, misprints and errors pointed out by the referee were ...
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Affine Lie algebras and tame quivers [PDF]
Selecta Mathematica, 2001 48 ...
Frenkel, Igor +2 more
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Representations of double affine lie algebras [PDF]
, 2003 We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their irreducible quotients. We also give a condition for the indecomposable modules to be irreducible, this is analogous to a result in the representation theory of quantum affine
Chari, Vyjayanthi, Le, Thang
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Beilinson–Drinfeld Schubert varieties and global Demazure modules
Forum of Mathematics, Sigma, 2021 We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Ilya Dumanski +2 more
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Anyonic realization of the quantum affine Lie algebras [PDF]
Czechoslovak Journal of Physics, 1997 8p, LaTeX, subeqn.sty.
L. Frappat +7 more
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Noncomplete affine structures on Lie algebras of maximal class
International Journal of Mathematics and Mathematical Sciences, 2002 Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
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A Quantization Procedure of Fields Based on Geometric Langlands Correspondence
International Journal of Mathematics and Mathematical Sciences, 2009 We expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing ...
Do Ngoc Diep
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BGG reciprocity for current algebras [PDF]
, 2014 It was conjectured by Bennett, Chari, and Manning that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the current algebra associated to a simple Lie algebra.
Chari, Vyjayanthi, Ion, Bogdan
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Realization of locally extended affine Lie algebras of type $A_1$ [PDF]
Categories and General Algebraic Structures with Applications, 2016 Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras.
Gholamreza Behboodi
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Current Algebra of Super WZNW Models [PDF]
, 1993 We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and ...
Abdalla E +29 more
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