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Representation theory of rectangular finite $W$-algebras (1003.2179v1)
Published 10 Mar 2010 in math.RT and math.RA
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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