Irreducible Almost Simple Subgroups of Classical Algebraic Groups, Paperback / softback Book

Irreducible Almost Simple Subgroups of Classical Algebraic Groups Paperback / softback

Part of the Memoirs of the American Mathematical Society series

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

  • Format: Paperback / softback
  • Pages: 110 pages
  • Publisher: American Mathematical Society
  • Publication Date:
  • Category: Algebra
  • ISBN: 9781470410469

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