Irreducible Almost Simple Subgroups of Classical Algebraic Groups Paperback / softback
by Timothy C. Burness, Soumaia Ghandour, Claude Marion, Donna M. Testerman
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:110 pages
- Publisher:American Mathematical Society
- Publication Date:30/07/2015
- Category:
- ISBN:9781470410469
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:110 pages
- Publisher:American Mathematical Society
- Publication Date:30/07/2015
- Category:
- ISBN:9781470410469
