Generalized Green functions and unipotent classes for finite reductive groups, I

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The algorithm of computing generalized Green functions of a finite reductive group contains some unkonwn scalars occuring from the F_q structure of irreducible local systems on unipotent classes on G. In this paper, we determine such scalars in the case where G = SL_n with Frobenius map F of split or non-split type. In the case where F is of non-split type, we use the theory of graded Hecke algebras and their representations on the equivariant homology group due to Lusztig.
36 pages

Keywords

Representation Theory, 20G05, 20G40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/75663

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507057
 http://arxiv.org/abs/math/0507057

Collections

arXiv