Abstract
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 we classify all such triples $(G,H,V)$, where $H$ is a maximal closed disconnected positive-dimensional subgroup of $G$, and $H$ preserves a natural geometric structure on $W$.
Original language | English |
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Article number | 1130 |
Number of pages | 100 |
Journal | Memoirs of the American Mathematical Society |
Volume | 239 |
Issue number | 1130 |
Early online date | 9 Jun 2015 |
DOIs | |
Publication status | Published - 2016 |
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Profiles
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Dr Tim C Burness
- School of Mathematics - Reader in Pure Mathematics
- Pure Mathematics
- Algebra
Person: Academic , Member