Publikationsdetails

A sharp upper bound for the size of Lusztig series

verfasst von
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.

Organisationseinheit(en)
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Externe Organisation(en)
Belarus Academy of Sciences
Typ
Artikel
Journal
Journal of group theory
Band
24
Seiten
207-251
Anzahl der Seiten
45
ISSN
1433-5883
Publikationsdatum
01.03.2021
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Algebra und Zahlentheorie
Elektronische Version(en)
https://doi.org/10.1515/jgth-2020-0052 (Zugang: Geschlossen)