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)