The Structure of the Normalizers of Maximal Toruses in Lie-Type Groups Full article
| Journal |
Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
||
|---|---|---|---|
| Output data | Year: 2024, Volume: 34, Number: 3, Pages: 209-230 Pages count : 22 DOI: 10.1134/s1055134424030040 | ||
| Tags | finite group of Lie type, linear algebraic group, Weyl group, maximal torus, algebraic normalizer, splitting. | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
The main aim of the present article is to survey results on the structure of the normalizers of maximal to ruses in Lie-typegroups. In particular, we present results on splitting of the normalizer of a maximal torus and, in the case of exceptional groups, on the minimal order of a lift in the corresponding normalizer for elements of the Weyl group.
Cite:
Galt A.A.
The Structure of the Normalizers of Maximal Toruses in Lie-Type Groups
Siberian Advances in Mathematics. 2024. V.34. N3. P.209-230. DOI: 10.1134/s1055134424030040 Scopus РИНЦ OpenAlex
The Structure of the Normalizers of Maximal Toruses in Lie-Type Groups
Siberian Advances in Mathematics. 2024. V.34. N3. P.209-230. DOI: 10.1134/s1055134424030040 Scopus РИНЦ OpenAlex
Original:
Гальт А.А.
Строение нормализаторов максимальных торов в группах лиева типа
Математические труды. 2024. Т.27. №2. С.62-98. DOI: 10.25205/1560-750X-2024-27-2-62-98
Строение нормализаторов максимальных торов в группах лиева типа
Математические труды. 2024. Т.27. №2. С.62-98. DOI: 10.25205/1560-750X-2024-27-2-62-98
Dates:
| Submitted: | May 15, 2024 |
| Accepted: | Jun 13, 2024 |
| Published print: | Sep 18, 2024 |
| Published online: | Sep 18, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85204283815 |
| Elibrary: | 69201091 |
| OpenAlex: | W4402698176 |
Citing:
Пока нет цитирований