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

Author: Anthony Henderson
Journal: Represent. Theory 11 (2007), 95-121
MSC (2000): Primary 17B37; Secondary 05E15, 20C08
DOI: https://doi.org/10.1090/S1088-4165-07-00317-2
Published electronically: June 26, 2007
MathSciNet review: 2320806
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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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