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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132571The 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.34 pagesRepresentation TheoryCombinatorics17B37 (Primary) 05E15, 20C08 (Secondary)Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type Atext