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The intersection cohomologies of closures of nilpotent orbits of linear (respectively, cyclic) quivers are known to be de- scribed by Kazhdan-Lusztig polynomials for the symmetric group (respectively, the ane symmetric group). We explain how to sim- plify this description using a combinatorial cancellation procedure, and derive some consequences for representation theory.

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