BURNESS, T. C.; GHANDOUR, S.; MARION, C.; TESTERMAN, D. M.
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86,94 €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 p-restricted irreducible tensor indecomposable rational KG-module such that the restriction of V to H is irreducible.
In this paper the authors classify the triples (G,H,V) of this form, where V?W,W* and H is a disconnected almost simple positive-dimensional closed subgroup of G acting irreducibly on W. Moreover, by combining this result with earlier work, they 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.
Authors
Timothy C. Burness, University of Bristol, United Kingdom.
Soumaïa Ghandour, Lebanese University, Nabatieh, Lebanon.
Claude Marion, University of Fribourg, Switzerland.
Donna M. Testerman, École Polytechnique Fédérale de Lausanne, Switzerland
Table of Contents
Introduction
Preliminaries
The case H0=Am
The case H0=Dm, m=5
The case H0=E6
The case H0=D4
Proof of Theorem 5
Notation
Bibliography
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