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arXiv · 1003.2179

Representation theory of rectangular finite $W$-algebras

Jonathan Brown
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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.

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Jonathan Brown. 2010-03-10. Representation theory of rectangular finite $W$-algebras. https://arxiv.org/abs/1003.2179

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