Irreducible Geometric Subgroups of Classical Algebraic Groups, Paperback / softback Book

Irreducible Geometric 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 $p \ge 0$ 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 the authors classify the triples $(G,H,V)$ of this form, where $H$ is a disconnected maximal positive-dimensional closed subgroup of $G$ preserving a natural geometric structure on $W$.

Information

  • Format: Paperback / softback
  • Pages: 88 pages
  • Publisher: American Mathematical Society
  • Publication Date:
  • Category: Algebra
  • ISBN: 9781470414948

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