Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 207-251 |
| Seitenumfang | 45 |
| Fachzeitschrift | Journal of group theory |
| Jahrgang | 24 |
| Ausgabenummer | 2 |
| Frühes Online-Datum | 9 Okt. 2020 |
| Publikationsstatus | Veröffentlicht - 1 März 2021 |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of group theory, Jahrgang 24, Nr. 2, 01.03.2021, S. 207-251.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A sharp upper bound for the size of Lusztig series
AU - Bessenrodt, Christine
AU - Zalesski, Alexandre
PY - 2021/3/1
Y1 - 2021/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85094579431&partnerID=8YFLogxK
U2 - 10.1515/jgth-2020-0052
DO - 10.1515/jgth-2020-0052
M3 - Article
AN - SCOPUS:85094579431
VL - 24
SP - 207
EP - 251
JO - Journal of group theory
JF - Journal of group theory
SN - 1433-5883
IS - 2
ER -