Irreducible Almost Simple Subgroups of Classical Algebraic Groups (eBook)

Timothy C Burness (Autor)

eBook Download: PDF

110 Seiten
American Mathematical Society (Verlag)
978-1-4704-2280-6 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-2280-8 / 1470422808
• ISBN-13: 978-1-4704-2280-6 / 9781470422806