Details
| Original language | English |
|---|---|
| Pages (from-to) | 207-251 |
| Number of pages | 45 |
| Journal | Journal of group theory |
| Volume | 24 |
| Issue number | 2 |
| Early online date | 9 Oct 2020 |
| Publication status | Published - 1 Mar 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 subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of group theory, Vol. 24, No. 2, 01.03.2021, p. 207-251.
Research output: Contribution to journal › Article › Research › 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 -