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American Mathematical Society Irreducible Geometric Subgroups of Classical Algebraic Groups (Memoirs of the American Mathematical Society)

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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 $W$.

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Format
paperback
Domain
Amazon UK
Release Date
30 January 2016
Listed Since
15 October 2015

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