Results 31 to 40 of about 72,094 (282)
Four-Point Affine Lie Algebras [PDF]
Proceedings of the American Mathematical Society, 1995 We consider Lie algebras of the form g ⊗ R \mathfrak {g} \otimes R where g \mathfrak {g} is a simple complex Lie algebra and R = C [ s , s − 1
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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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VERTEX ALGEBRAS ASSOCIATED WITH ELLIPTIC AFFINE LIE ALGEBRAS [PDF]
Communications in Contemporary Mathematics, 2011 We associate what we call vertex ℂ((z))-algebras and their modules in a certain category with elliptic affine Lie algebras. To a certain extent, this association is similar to that of vertex algebras and their modules with affine Lie algebras. While the notion of vertex ℂ((z))-algebra is a special case of that of quantum vertex ℂ((z))-algebra, which ...
Sun, Jiancai, Li, Haisheng
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Uhlenbeck Spaces via Affine Lie Algebras [PDF]
, 2007 Let $G$ be an almost simple simply connected group over $\BC$, and let $\Bun^a_G(\BP^2,\BP^1)$ be the moduli scheme of principal $G$-bundles on the projective plave $\BP^2$, of second Chern class $a$, trivialized along a line $\BP^1\subset \BP^2$. We define the Uhlenbeck compactification $\fU^a_G$ of $\Bun^a_G(\BP^2,\BP^1)$, which classifies, roughly ...
Braverman, A. +2 more
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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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Modules for double affine Lie algebras [PDF]
Frontiers of Mathematics in China, 2015 15 pages, 15 ...
Jing, Naihuan, Wang, Chunhua
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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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Multipartitions, generalized Durfee squares and affine Lie algebra characters [PDF]
Journal of the Australian Mathematical Society, 2000 We give some higher dimensional analogues of the Durfee square formula and point out their relation to dissections of multipartitions. We apply the results to write certain affine Lie algebra characters in terms of Universal Chiral Partition Functions.
P. Bouwknegt
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Staggered and affine Kac modules over A1(1)
Nuclear Physics B, 2020 This work concerns the representation theory of the affine Lie algebra A1(1) at fractional level and its links to the representation theory of the Virasoro algebra.
Jørgen Rasmussen
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Nonassociative Algebras: A Framework for Differential Geometry
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
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