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

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

2005-01-05

arxiv.org/abs/math/0501054v1

Represent. Theory 11 (2007), pp. 95-121

Mathematics

Representation Theory

34 pages

Scientific paper

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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