Irreducible almost simple subgroups of classical algebraic groups
Burness, Timothy C., Ghandour, Soumaia, Marion, Claude and Testerman, Donna M. (2012) Irreducible almost simple subgroups of classical algebraic groups. Pre-print, 1-84. (Submitted).
Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p ≥ 0 with natural module W. Let H be a closed subgroup of G and let V be a nontrivial irreducible tensor indecomposable -restricted rational KG-module such that the restriction of V to H is irreducible. In this paper we classify the triples (G,H,V ) of this form, where H is a closed disconnected almost simple positive-dimensional subgroup of G acting irreducibly on W. Moreover, by combining this result with earlier work, we complete the classifcation of the irreducible triples (G,H,V ) where G is a simple algebraic group over K, and H is a maximal closed subgroup of positive dimension.
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Social and Human Sciences > Mathematics > Pure Mathematics
|Date Deposited:||18 Jun 2012 10:16|
|Last Modified:||18 Jun 2012 10:23|
|Contributors:||Burness, Timothy C. (Author)
Ghandour, Soumaia (Author)
Marion, Claude (Author)
Testerman, Donna M. (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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