Generalized Green functions and unipotent classes for finite reductive groups, I
表示论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0507057,
title = {Generalized Green functions and unipotent classes for finite reductive groups, I},
author = {Toshiaki Shoji},
journal= {arXiv preprint arXiv:math/0507057},
year = {2007}
}
备注
36 pages