Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, II

Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, II

This paper is concerned with the problem of the determination of unknown scalars involved in the algorithm of computing the generalized Green functions of reductive groups G over a finite field. In the previous paper, we have treated the case where G = SLn . In this paper, we determine the scalars i...

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Veröffentlicht in:Nagoya mathematical journal 2007-12, Vol.188, p.133-170
1. Verfasser: Shoji, Toshiaki
Format: Artikel
Sprache:eng
Schlagworte:
20G05
20G40
Online-Zugang:Volltext
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Zusammenfassung:This paper is concerned with the problem of the determination of unknown scalars involved in the algorithm of computing the generalized Green functions of reductive groups G over a finite field. In the previous paper, we have treated the case where G = SLn . In this paper, we determine the scalars in the case where G is a classical group Sp2n or SON for arbitrary characteristic.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000009478