Irreducible Geometric Subgroups of Classical Algebraic Groups
Share this pageTimothy C. Burness; Soumaïa Ghandour; Donna M. Testerman
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 \(W\).
Table of Contents
Table of Contents
Irreducible Geometric Subgroups of Classical Algebraic Groups
- Cover Cover11 free
- Title page i2 free
- Chapter 1. Introduction 18 free
- Acknowledgments 512 free
- Chapter 2. Preliminaries 714
- Chapter 3. The \C₁,\C₃ and \C₆ collections 2128
- Chapter 4. Imprimitive subgroups 3138
- Chapter 5. Tensor product subgroups, I 5966
- Chapter 6. Tensor product subgroups, II 6370
- Bibliography 8794
- Back Cover Back Cover1100