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Graded Hecke algebras and equivariant constructible sheaves on the nilpotent cone

Graded Hecke algebras and equivariant constructible sheaves on the nilpotent cone

Abstract Graded Hecke algebras can be constructed geometrically, with constructible sheaves and equivariant cohomology. The input consists of a complex reductive group G (possibly disconnected) and a cuspidal local system on a nilpotent orbit for a Levi subgroup of G. We prove that every such “geometric” graded Hecke algebra is …