On the values of unipotent characters of finite Chevalley groups of type E6 in characteristic 3

JOURNAL OF ALGEBRA

卷:536

Article

Hetz, Jonas¹ 

[1] Univ Stuttgart, IAZ Lehrstuhl Algebra, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

关键词: Finite groups of Lie type;    Unipotent characters;    Character sheaves;   

DOI  :  10.1016/j.jalgebra.2019.06.042

来源: Elsevier

【 摘 要 】

Let G be a finite Chevalley group. We are concerned with computing the values of the unipotent characters of G by making use of Lusztig's theory of character sheaves. In this framework, one has to find the transformation between several bases for the class functions on G. In principle, this has been achieved by Lusztig and Shoji, but the underlying process involves some scalars which are still unknown in many cases. We shall determine these scalars in the specific case where G is one of the groups E-6(q), E-2(6) (q), and q is a power of the bad prime p = 3 for E-6, by exploiting known facts about the representation theory of the Hecke algebra associated with G. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free