Lusztig's conjecture for finite special linear groups

Toshiaki Shoji

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arXiv · math/0502180

Lusztig's conjecture for finite special linear groups

Toshiaki Shoji

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Abstract

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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BibTeX RIS

Toshiaki Shoji. 2005-02-09. Lusztig's conjecture for finite special linear groups. https://arxiv.org/abs/math/0502180

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