The Structure of the Normalizers of Maximal Toruses inLie-Type Groups
The main aim of the present article is to survey results on the structure of the normalizers of maximal toruses in Lie-type groups. 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.
Authors
- Alexey Galt (ORCID: https://orcid.org/0000-0002-0788-5871)
Institutions
- Sobolev Institute of Mathematics (RU)
Publication Details
- Journal
- Siberian Advances in Mathematics
- Published
- 2024-09-01
- DOI
- https://doi.org/10.1134/s1055134424030040
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00