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Irreducible geometric subgroups of classical algebraic groups

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Original languageEnglish
Article number1130
Number of pages100
JournalMemoirs of the American Mathematical Society
Volume239
Issue number1130
Early online date9 Jun 2015
DOIs
DateE-pub ahead of print - 9 Jun 2015
DatePublished (current) - 2016

Abstract

Let $G$ be a simple classical algebraic group over an algebraically closed field $K$ of characteristic $p \ge 0$ with natural module $W$. Let $H$ be a closed subgroup of $G$ and let $V$ be a non-trivial irreducible tensor-indecomposable $p$-restricted rational $KG$-module such that the restriction of $V$ to $H$ is irreducible. In this paper we classify all such triples $(G,H,V)$, where $H$ is a maximal closed disconnected positive-dimensional subgroup of $G$, and $H$ preserves a natural geometric structure on $W$.

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  • 2016 Irreducible geometric subgroups of classical algebraic groups

    Rights statement: This is the final published version of the article (version of record). It first appeared online via AMS at http://dx.doi.org/10.1090/memo/1130 . Please refer to any applicable terms of use of the publisher.

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