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