Irreducible Almost Simple Subgroups of Classical Algebraic Groups 1

Vetenskap & teknik

Irreducible Almost Simple Subgroups of Classical Algebraic Groups

Timothy C Burness • Soumaia Ghandour • Claude Marion • Donna M Testerman

Pocket

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110 sidor
2015

Let $G$ be a simple classical algebraic group over an algebraically closed field $K$ of characteristic $p\geq 0$ with natural module $W$. Let $H$ be a closed subgroup of $G$ and let $V$ be a nontrivial $p$-restricted irreducible tensor indecomposable 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 $V \neq W,W^{*}$ and $H$ is a disconnected almost simple positive-dimensional closed subgroup of $G$ acting irreducibly on $W$. Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples $(G,H,V)$ where $G$ is a simple algebraic group over $K$, and $H$ is a maximal closed subgroup of positive dimension.

Författare: Timothy C Burness, Soumaia Ghandour, Claude Marion, Donna M Testerman
Format: Pocket/Paperback
ISBN: 9781470410469
Språk: Engelska
Antal sidor: 110
Utgivningsdatum: 2015-07-30
Förlag: American Mathematical Society