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Irreducible Geometric Subgroups of Classical Algebraic Groups

Irreducible Geometric Subgroups of Classical Algebraic Groups

Paperback (30 Jan 2016)

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Publisher's Synopsis

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 $W$.

Book information

ISBN: 9781470414948
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 512.5
DEWEY edition: 23
Language: English
Number of pages: 88
Weight: 160g
Height: 178mm
Width: 252mm
Spine width: 9mm