Syu Kato
Published 2006-01-08, updated 2009-03-03Version 7
Let G be a complex symplectic group. We introduce a G x (C ^x) ^{l + 1}-variety N_{l}, which we call the l-exotic nilpotent cone. Then, we realize the Hecke algebra H of type C_n ^(1) with three parameters via equivariant algebraic K-theory in terms of the geometry of N_2. This enables us to establish a Deligne-Langlands type classification of "non-critical" simple H-modules. As applications, we present a character formula and multiplicity formulas of H-modules.
Comments: v7, 52pages. Corrected typos and errors in the proofs of Lemma 4.1 and Theorem 6.2 modulo Proposition 6.7, final version, accepted for publication in Duke Math
Journal: Duke Math. J. 148 no.2 305--371 (2009)
Tempered modules in exotic Deligne-Langlands correspondence
An exotic Springer correspondence for symplectic groups
Pieri algebras for the orthogonal and symplectic groups
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