Skip to content

Irreducible geometric subgroups of classical algebraic groups

Research output: Contribution to journalArticle

Original languageEnglish
Article number1130
Number of pages100
JournalMemoirs of the American Mathematical Society
Issue number1130
Early online date9 Jun 2015
DateE-pub ahead of print - 9 Jun 2015
DatePublished (current) - 2016


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 $W$.

Download statistics

No data available



  • 2016 Irreducible geometric subgroups of classical algebraic groups

    Rights statement: This is the final published version of the article (version of record). It first appeared online via AMS at . Please refer to any applicable terms of use of the publisher.

    Final published version, 1.01 MB, PDF document

    Licence: CC BY-NC


View research connections

Related faculties, schools or groups