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

Details Generalized Green functions and unipotent classes for finite reductive groups, II Generalized Green functions and unipotent classes for finite reductive groups, II

2006-11-14

arxiv.org/abs/math/0611415v1

Mathematics

Representation Theory

31 pages

Scientific paper

In a previous paper, "Generalized Green functions and unipotent classes for finite reductive groups, I", we have determined certain unknown scalars involved in the algorithm of computing generalized Green functions in the case of SL_n. In this paper, we consider a similar problem for the case of classical groups Sp_{2n}, SO_N with arbitrary characteristic. Our result enables us, in particular, to compute Green functions in bad characteristic case, which was not known before.

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