Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- January 2005
- DOI:
- 10.48550/arXiv.math/0501054
- arXiv:
- arXiv:math/0501054
- Bibcode:
- 2005math......1054H
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Combinatorics;
- 17B37 (Primary) 05E15;
- 20C08 (Secondary)
- E-Print:
- 34 pages