Irreducible Geometric Subgroups of Classical Algebraic Groups

Author:   Timothy Burness ,  Soumaia Ghandour ,  Donna M. Testerman
Publisher:   American Mathematical Society
ISBN:  

9781470414948


Pages:   88
Publication Date:   30 January 2016
Format:   Paperback
Availability:   In Print   Availability explained
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Irreducible Geometric Subgroups of Classical Algebraic Groups


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Overview

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 $W$.

Full Product Details

Author:   Timothy Burness ,  Soumaia Ghandour ,  Donna M. Testerman
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.163kg
ISBN:  

9781470414948


ISBN 10:   1470414945
Pages:   88
Publication Date:   30 January 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of 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

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Author Information

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

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