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Irreducible Geometric Subgroups of Classical Algebraic Groups


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English | ISBN: 1470414945 | 2016 | 100 Pages | PDF | 1 MB

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 $W$.
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