Extension of the Category Og and a Vanishing Theorem for the Ext Functor for Kac-Moody Algebras
Shrawan Kumar,Shrawan Kumar +1 more
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In this article, the equivalence classes in Pa. under Z' have description exactly similar to that for the classes in Kg under x, given by Deodhar-Gabber-Kac.About:
This article is published in Journal of Algebra.The article was published on 1987-07-01 and is currently open access. It has received 21 citations till now. The article focuses on the topics: Equivalence relation & Subquotient.read more
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Representation theory of mathcal{W} -algebras
TL;DR: In this paper, the authors studied the representation theory of affine Lie algebras and showed that the character of each irreducible highest weight representation of a simple Lie algebra is completely determined by that of the corresponding highest weight representations of a corresponding Lie algebra.
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W-algebras for Argyres–Douglas theories
TL;DR: In this article, the vertex operator algebra corresponding to the vertex algebra associated to the best understood logarithmic conformal field theories is shown to be a quantum Hamiltonian reduction of the vertices operator algebra of a vertex algebra of the Argyres-Douglas theory.
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Cosets of affine vertex algebras inside larger structures
TL;DR: In this paper, the authors give a strong finite generation of the coset Com (V k ( g, B ), A k ) for generic values of k. They also give a new proof of the rationality of the simple N = 2 superconformal algebra with c = 3 k k + 2 for all positive integers k.
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Characters of irreducible modules with non-critical highest weights over affine Lie algebras
TL;DR: In this article, the authors derived the Kazhdan-Lusztig type character formula for irreducible modules with arbitrary non-critical highest weights over affine Lie algebras from the rational case.
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Infinite Dimensional Lie Algebras
TL;DR: The invariant bilinear form and the generalized casimir operator are integral representations of Kac-Moody algebras and the weyl group as mentioned in this paper, as well as a classification of generalized cartan matrices.
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Structure of representations with highest weight of infinite-dimensional Lie algebras☆
Victor G. Kac,David Kazhdan +1 more
TL;DR: In this article, the authors describe the irreducible modules that occur in the Jordan-Holder series of a Verma module over a contragredient Lie algebra associated with an arbitrary symmetrisable Cartan matrix.
Related Papers (5)
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
Victor G. Kac,Minoru Wakimoto +1 more
Structure of representations with highest weight of infinite-dimensional Lie algebras☆
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