Irreducible Geometric Subgroups of Classical Algebraic Groups

Ebook Details


Timothy Burness, Soumaia Ghandour, Donna M. Testerman

Year 2016
Pages 88
Publisher Amer Mathematical Society
Language en
ISBN 9781470414948
File Size 811.78 KB
File Format PDF
Download Counter 94
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Ebook Description

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 the authors classify the triples $(G,H,V)$ of this form, where $H$ is a disconnected maximal positive-dimensional closed subgroup of $G$ preserving a natural geometric structure on $W$.