The Library
Reducible subgroups of exceptional algebraic groups
Tools
Tools
Tools
Litterick, Alastair and Thomas, Adam (2019) Reducible subgroups of exceptional algebraic groups. Journal of Pure and Applied Algebra, 223 (6). pp. 2489-2529. doi:10.1016/j.jpaa.2018.09.004
|
PDF
WRAP-reducible-subgroups-exceptional-algebraic-groups-Thomas-2019.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (947Kb) | Preview |
Official URL: https://doi.org/10.1016/j.jpaa.2018.09.004
Abstract
Let G be a simple algebraic group over an algebraically closed field. A closed subgroup H of G is called G-completely reducible (G-cr) if, whenever H is contained in a parabolic subgroup P of G, it is contained in a Levi factor of P. In this paper we complete the classification of connected G-cr subgroups when G has exceptional type, by determining the -irreducible connected reductive subgroups for each simple classical factor of a Levi subgroup of G. As an illustration, we determine all reducible, G-cr semisimple subgroups when G has type and various properties thereof. This work complements results of Lawther, Liebeck, Seitz and Testerman, and is vital in classifying non-G-cr reductive subgroups, a project being undertaken by the authors elsewhere.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Linear algebraic groups, Representations of groups, Group theory | ||||||
| Journal or Publication Title: | Journal of Pure and Applied Algebra | ||||||
| Publisher: | Elsevier Science BV | ||||||
| ISSN: | 0022-4049 | ||||||
| Official Date: | June 2019 | ||||||
| Dates: |
|
||||||
| Date of first compliant deposit: | 15 October 2019 | ||||||
| Volume: | 223 | ||||||
| Number: | 6 | ||||||
| Page Range: | pp. 2489-2529 | ||||||
| DOI: | 10.1016/j.jpaa.2018.09.004 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
