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arXiv:math/0501054 [math.RT]AbstractReferencesReviewsResources

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

Anthony Henderson

Published 2005-01-05Version 1

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.

Comments: 34 pages
Journal: Represent. Theory 11 (2007), pp. 95-121
Categories: math.RT, math.CO
Subjects: 17B37, 05E15, 20C08
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