Irreducible almost simple subgroups of classical algebraic groups
Irreducible almost simple subgroups of classical algebraic groups
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 p-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 classification 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.
1-84
Burness, Timothy C.
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Ghandour, Soumaia
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Marion, Claude
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Testerman, Donna M.
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Burness, Timothy C.
a3b369f0-16f5-41e6-84d9-5a50f027bcd6
Ghandour, Soumaia
575259be-059d-41cb-8291-2314325e3a91
Marion, Claude
a48acc05-e3ed-4a6d-b237-ecd76d719c9e
Testerman, Donna M.
5d6fe188-b3e7-45cd-b332-5c8ae7093c63
Burness, Timothy C., Ghandour, Soumaia, Marion, Claude and Testerman, Donna M.
(2012)
Irreducible almost simple subgroups of classical algebraic groups.
Pre-print, .
Abstract
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 p-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 classification 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.
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Submitted date: 2012
e-pub ahead of print date: 2012
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Pure Mathematics
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Local EPrints ID: 340295
URI: http://eprints.soton.ac.uk/id/eprint/340295
PURE UUID: 48403ba6-a3e3-443f-9bcb-0fe5b0b97fe6
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Date deposited: 18 Jun 2012 10:16
Last modified: 14 Mar 2024 11:21
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Author:
Timothy C. Burness
Author:
Soumaia Ghandour
Author:
Claude Marion
Author:
Donna M. Testerman
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