| eBook ISBN: | 978-1-4704-2743-6 |
| Product Code: | MEMO/239/1130.E |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $47.40 |
| eBook ISBN: | 978-1-4704-2743-6 |
| Product Code: | MEMO/239/1130.E |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $47.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 239; 2015; 88 ppMSC: Primary 20
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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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries
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3. The $\mathcal {C}_1, \mathcal {C}_3$ and $\mathcal {C}_6$ collections
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4. Imprimitive subgroups
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5. Tensor product subgroups, I
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6. Tensor product subgroups, II
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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 \(W\).
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. The $\mathcal {C}_1, \mathcal {C}_3$ and $\mathcal {C}_6$ collections
-
4. Imprimitive subgroups
-
5. Tensor product subgroups, I
-
6. Tensor product subgroups, II
