Lusztig's conjecture for finite special linear groups

Details Lusztig's conjecture for finite special linear groups Lusztig's conjecture for finite special linear groups

2005-02-09

arxiv.org/abs/math/0502180v1

Mathematics

Representation Theory

65 pages

Scientific paper

In this paper, we prove Lusztig's conjecture for finite special linear groups, i.e., we show that characteristic functions of character sheaves coincide with almost characters up to scalar constants, under the condition that the characteristic of the base field is not too small. We determine those scalars explicitly. Our result gives a method of computing irreducible characters of these groups.

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