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Irreducible A1 subgroups of exceptional algebraic groups
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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
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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: |
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| 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: |
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