The Library
Irreducible A1 subgroups of exceptional algebraic groups
Tools
Tools
Tools
Thomas, Adam (2016) Irreducible A1 subgroups of exceptional algebraic groups. Journal of Algebra, 447 . pp. 240-296. doi:10.1016/j.jalgebra.2015.08.026
|
PDF
WRAP-Irreducible-subgroups-algebraic-Thomas-2018.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (1078Kb) | Preview |
Official URL: https://doi.org/10.1016/j.jalgebra.2015.08.026
Abstract
A closed subgroup of a semisimple algebraic group is called irreducible if it lies in no proper parabolic subgroup. In this paper we classify all irreducible subgroups of exceptional algebraic groups G. Consequences are given concerning the representations of such subgroups on various G-modules: for example, the conjugacy classes of irreducible subgroups are determined by their composition factors on the adjoint module of G.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Group algebras, Group theory | ||||||
| Journal or Publication Title: | Journal of Algebra | ||||||
| Publisher: | Academic Press Inc Elsevier Science | ||||||
| ISSN: | 0021-8693 | ||||||
| Official Date: | 1 February 2016 | ||||||
| Dates: |
|
||||||
| Date of first compliant deposit: | 15 October 2019 | ||||||
| Volume: | 447 | ||||||
| Page Range: | pp. 240-296 | ||||||
| DOI: | 10.1016/j.jalgebra.2015.08.026 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| RIOXX Funder/Project Grant: |
|
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
