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

Algebra

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About the Author Timothy C. Burness, University of Bristol, United Kingdom.Soumaia Ghandour, Lebanese University, Nabatieh, Lebanon.Claude Marion, University of Fribourg, Switzerland.Donna M. Testerman, Ecole Polytechnique Federale de Lausanne, Switzerland. Product 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.

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Format: paperback
ASIN: 147041046X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 July 2015
Listed Since: 16 April 2015

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

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