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 nontrivial irreducible tensorindecomposable $p$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 positivedimensional subgroup of $G$, and $H$ preserves a natural geometric structure on $W$.
Original language  English 

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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Dive into the research topics of 'Irreducible geometric subgroups of classical algebraic groups'. Together they form a unique fingerprint.Profiles

Professor Tim Burness
 School of Mathematics  Professor of Pure Mathematics
 Pure Mathematics
 Algebra
Person: Academic , Member