Article

Representation theory of rectangular finite $W$-algebras

03/2010; DOI: 10.1016/j.jalgebra.2011.05.014
Source: arXiv

ABSTRACT We classify the finite dimensional irreducible representations of rectangular finite $W$-algebras, i.e., the finite $W$-algebras $U(\mathfrak{g}, e)$ where $\mathfrak{g}$ is a symplectic or orthogonal Lie algebra and $e \in \mathfrak{g}$ is a nilpotent element with Jordan blocks all the same size. Comment: 34 pages

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