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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

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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:
DateEvent
1 February 2016Published
9 November 2015Accepted
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:
Project/Grant IDRIOXX Funder NameFunder ID
UNSPECIFIED[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266

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