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Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A

Anthony Henderson
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Abstract

The intersection cohomologies of closures of nilpotent orbits of linear (respectively, cyclic) quivers are known to be described by Kazhdan-Lusztig polynomials for the symmetric group (respectively, the affine symmetric group). We explain how to simplify this description using a combinatorial cancellation procedure, and derive some consequences for representation theory.

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Anthony Henderson. 2005-01-05. Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A. https://arxiv.org/abs/math/0501054

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