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New Irreducible Modules for Heisenberg and Affine Lie Algebras
Irreducible Modules Heisenberg Affine Lie Algebras
2011/8/25
Abstract: We study $\mathbb Z$-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac-Moody Lie a...
Symplectic reflection algebras and affine Lie algebras
Symplectic reflection algebras affine Lie algebras
2010/11/23
The goal of this paper is to present some results and (more importantly) state a number of conjectures suggesting that the representation theory of symplectic reflection algebras for wreath products c...
Vertex Operator Algebras Associated to Type G Affine Lie Algebras
Vertex Operator Algebras Associated Type G Affine Lie Algebras
2010/11/22
In this paper, we study representations of the vertex operator algebra $L(k,0)$ at one-third admissible levels $k= -5/3, -4/3, -2/3$ for the affine algebra of type $G_2^{(1)}$. We first determine sin...
Permutation Weights and Modular Poincare Polynomials for Affine Lie Algebras
Permutation Weights Modular Poincare Polynomials Affine Lie Algebras
2010/12/8
Poincare Polynomial of a Kac-Moody Lie algebra can be obtained by classifying the
Weyl orbit W() of its Weyl vector . A remarkable fact for Affine Lie algebras is that the
number of elements of W(...