Irreducible Geometric Subgroups of Classical Algebraic Groups(English, Paperback, Burness Timothy)

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Irreducible Geometric Subgroups of Classical Algebraic Groups(English, Paperback, Burness Timothy) is written by Burness Timothy and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470414945 (ISBN 10) and 9781470414948 (ISBN 13).

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 $W$.