Lusztig's conjecture for finite special linear groups

Author:
Toshiaki Shoji

Journal:
Represent. Theory **10** (2006), 164-222

MSC (2000):
Primary 20G40, 20G05

DOI:
https://doi.org/10.1090/S1088-4165-06-00275-5

Published electronically:
March 22, 2006

MathSciNet review:
2219112

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we prove Lusztig's conjecture for , i.e., we show that characteristic functions of character sheaves of coincide with almost characters of up to scalar constants, assuming that the characteristic of is not too small. We determine these scalars explicitly. Our result gives a method of computing irreducible characters of .

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Additional Information

**Toshiaki Shoji**

Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

DOI:
https://doi.org/10.1090/S1088-4165-06-00275-5

Received by editor(s):
February 16, 2005

Received by editor(s) in revised form:
January 24, 2006

Published electronically:
March 22, 2006

Dedicated:
To Noriaki Kawanaka on his sixtieth birthday

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.