Nilpotent orbits of linear and cyclic quivers and KazhdanLusztig polynomials of type A
Abstract
The intersection cohomologies of closures of nilpotent orbits of linear (respectively, cyclic) quivers are known to be described by KazhdanLusztig 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:

arXiv Mathematics eprints
 Pub Date:
 January 2005
 DOI:
 10.48550/arXiv.math/0501054
 arXiv:
 arXiv:math/0501054
 Bibcode:
 2005math......1054H
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Combinatorics;
 17B37 (Primary) 05E15;
 20C08 (Secondary)
 EPrint:
 34 pages