Irreducible Geometric Subgroups of Classical Algebraic Groups (Memoirs of the American Mathematical Society)

By Timothy C Burness, Soumaia Ghandour, Donna M. Testerman

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 $W$.

• Format: Paperback
• Language: English
• ISBN: 1470414945
• ISBN13: 9781470414948
• Release Date: January 2016
• Publisher: Amer Mathematical Society
• Length: 88 Pages
• Weight: 0.35 lbs.
• Dimensions: 7.0" x 0.3" x 9.9"