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

Henderson, Anthony

doi:10.1090/S1088-4165-07-00317-2

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

Represent. Theory 11 (2007), 95-121

DOI: https://doi.org/10.1090/S1088-4165-07-00317-2

Published electronically: June 26, 2007

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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 we derive some consequences for representation theory.

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