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OverviewLet $G$ 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. Full Product DetailsAuthor: Timothy C. Burness , Soumaia Ghandour , Claude Marion , Donna M. TestermanPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 236, 1114 Weight: 0.187kg ISBN: 9781470410469ISBN 10: 147041046 Pages: 110 Publication Date: 30 July 2015 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Preliminaries The case $H^0 = A_m$ The case $H^0=D_m$, $m \ge 5$ The case $H^0=E_6$ The case $H^0 = D_4$ Proof of Theorem 5 Notation BibliographyReviewsAuthor InformationTimothy 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. Tab Content 6Author Website:Countries AvailableAll regions |
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