An exotic Deligne-Langlands correspondence for symplectic groups
نویسنده
چکیده
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 applications, we present a character formula and multiplicity formulas of H-modules. Table of
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An exotic Deligne-Langlands correspondence for symplectic group
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تاریخ انتشار 2009