Reducible subgroups of exceptional algebraic groups

Litterick A, Thomas AR (2019)
JOURNAL OF PURE AND APPLIED ALGEBRA 223(6): 2489-2529.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Litterick, AlastairUniBi; Thomas, Adam R.
Abstract / Bemerkung
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 L-0-irreducible connected reductive subgroups for each simple classical factor L-0 of a Levi subgroup of G. As an illustration, we determine all reducible, G-cr semisimple subgroups when G has type F-4 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. (C) 2018 Elsevier B.V. All rights reserved.
Erscheinungsjahr
2019
Zeitschriftentitel
JOURNAL OF PURE AND APPLIED ALGEBRA
Band
223
Ausgabe
6
Seite(n)
2489-2529
ISSN
0022-4049
eISSN
1873-1376
Page URI
https://pub.uni-bielefeld.de/record/2933904

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Litterick A, Thomas AR. Reducible subgroups of exceptional algebraic groups. JOURNAL OF PURE AND APPLIED ALGEBRA. 2019;223(6):2489-2529.
Litterick, A., & Thomas, A. R. (2019). Reducible subgroups of exceptional algebraic groups. JOURNAL OF PURE AND APPLIED ALGEBRA, 223(6), 2489-2529. doi:10.1016/j.jpaa.2018.09.004
Litterick, A., and Thomas, A. R. (2019). Reducible subgroups of exceptional algebraic groups. JOURNAL OF PURE AND APPLIED ALGEBRA 223, 2489-2529.
Litterick, A., & Thomas, A.R., 2019. Reducible subgroups of exceptional algebraic groups. JOURNAL OF PURE AND APPLIED ALGEBRA, 223(6), p 2489-2529.
A. Litterick and A.R. Thomas, “Reducible subgroups of exceptional algebraic groups”, JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 223, 2019, pp. 2489-2529.
Litterick, A., Thomas, A.R.: Reducible subgroups of exceptional algebraic groups. JOURNAL OF PURE AND APPLIED ALGEBRA. 223, 2489-2529 (2019).
Litterick, Alastair, and Thomas, Adam R. “Reducible subgroups of exceptional algebraic groups”. JOURNAL OF PURE AND APPLIED ALGEBRA 223.6 (2019): 2489-2529.