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Simple irreducible subgroups of exceptional algebraic groups
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Thomas, Adam (2015) Simple irreducible subgroups of exceptional algebraic groups. Journal of Algebra, 423 . pp. 190-238. doi:10.1016/j.jalgebra.2014.10.011 ISSN 0021-8693.
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Official URL: https://doi.org/10.1016/j.jalgebra.2014.10.011
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 which are connected, closed and simple of rank at least 2. Consequences are given concerning the representations of such subgroups on various G-modules: for example, with one exception, the conjugacy classes of irreducible simple connected subgroups of rank at least 2 are determined by their composition factors on the adjoint module of G.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Linear algebraic groups, Representations of groups, Group algebras, Group theory | ||||||
| Journal or Publication Title: | Journal of Algebra | ||||||
| Publisher: | Academic Press Inc Elsevier Science | ||||||
| ISSN: | 0021-8693 | ||||||
| Official Date: | 1 February 2015 | ||||||
| Dates: |
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| Volume: | 423 | ||||||
| Page Range: | pp. 190-238 | ||||||
| DOI: | 10.1016/j.jalgebra.2014.10.011 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 15 October 2019 | ||||||
| Date of first compliant Open Access: | 23 October 2019 | ||||||
| RIOXX Funder/Project Grant: |
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