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

Burness, Timothy; Ghandour, Soumaia; Testerman, Donna M.

Softcover

ISBN 10: 1470414945 ISBN 13: 9781470414948

Publisher: American Mathematical Society, 2016

Synopsis

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 $W$.

About this title

About the Author

Timothy Burness, University of Bristol, United Kingdom.

Soumaia Ghandour, Lebanese University, Nabatieh, Lebanon.

Donna M. Testerman, Ecole Polytechnique Federale de Lausanne, Switzerland.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2016
• Language: English
• ISBN 10: 1470414945
• ISBN 13: 9781470414948
• Binding: Paperback
• Number of pages: 88