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

By: Timothy C. Burness (author), Donna M. Testerman (author), Soumaia Ghandour (author)Paperback

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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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Timothy Burness, University of Bristol, United Kingdom. Soumaia Ghandour, Lebanese University, Nabatieh, Lebanon. Donna M. Testerman, Ecole Polytechnique Federale de Lausanne, Switzerland.

Contents

Introduction Preliminaries The $\mathcal{C} 1, \mathcal{C} 3$ and $\mathcal{C} 6$ collections Imprimitive subgroups Tensor product subgroups, I Tensor product subgroups, II Bibliography

Product Details

• ISBN13: 9781470414948
• Format: Paperback
• Number Of Pages: 88
• ID: 9781470414948
• ISBN10: 1470414945

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