A sharp upper bound for the size of Lusztig series

authored by

Christine Bessenrodt, Alexandre Zalesski

Abstract

The paper is concerned with the character theory of finite groups of Lie type. The irreducible characters of a group G of Lie type are partitioned in Lusztig series. We provide a simple formula for an upper bound of the maximal size of a Lusztig series for classical groups with connected center; this is expressed for each group G in terms of its Lie rank and defining characteristic. When G is specified as G(q) and q is large enough, we determine explicitly the maximum of the sizes of the Lusztig series of G.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Belarus Academy of Sciences

Type

Article

Journal

Journal of group theory

Volume

24

Pages

207-251

No. of pages

45

ISSN

1433-5883

Publication date

01.03.2021

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://doi.org/10.1515/jgth-2020-0052 (Access: Closed)