Hodge Modules, Equlvarlant K-Theory and Hecke Algebras | Zendy

Toshiyuki Tanisaki | Zendy

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Hodge Modules, Equlvarlant K-Theory and Hecke Algebras

Author(s) -

Toshiyuki Tanisaki

Publication year - 1987

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195176035

Subject(s) - mathematics , pure mathematics , hodge theory , k theory (physics) , algebra over a field , cohomology

where / is the length function. When W is a Weyl group, this algebra appeared in connection with finite Chevalley groups ([I]) as we formulate in the following. Let G be a connected reductive algebraic group with Weyl group W defined and split over a finite field Fqo and X the flag variety of G. We denote by H the Cvector space consisting of C-valued functions on X(Fqo) x X(Fqo) which are invariant under the action of G(Fqo). H is endowed with an algebra structure via the convolution product :

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