On unipotent supports of reductive groups with a disconnected centre

JOURNAL OF ALGEBRA

卷:391

Article

Taylor, Jay

关键词: Finite reductive groups;    Unipotent supports;    Ordinary characters;   

DOI  :  10.1016/j.jalgebra.2013.06.004

来源: Elsevier

【 摘 要 】

Let G be a simple algebraic group defined over a finite field of good characteristic, with associated Frobenius endomorphism F. In this article we extend an observation of Lusztig (which gives a numerical relationship between an ordinary character of G(F) and its unipotent support), to the case where Z(G) is disconnected. We then use this observation in some applications to the ordinary character theory of G(F). (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free