An exotic Deligne-Langlands correspondence for symplectic group
نویسنده
چکیده
Let G = Sp(2n,C) be a complex symplectic group. In the companion paper [math.AG/0601154], we introduced a (G × C × C)-variety N, which we call the exotic nilpotent cone. In this paper, we realize the Hecke algebra H of type C n with unequal parameters via equivariant algebraic K-theory in terms of the geometry of N. This enables us to establish a Deligne-Langlands type classification of “non-critical” simple H-modules.
منابع مشابه
An exotic Deligne-Langlands correspondence for symplectic groups
Let G = Sp(2n,C) be a complex symplectic group. We introduce a G× (C)-variety Nl, which we call the l-exotic nilpotent cone. Then, we realize the Hecke algebra H of type C (1) n with three parameters via equivariant algebraic K-theory in terms of the geometry of N2. This enables us to establish a Deligne-Langlands type classification of simple H-modules under a mild assumption on parameters. As...
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