Irreducible Almost Simple Subgroups of Classical Algebraic Groups

Irreducible Almost Simple Subgroups of Classical Algebraic Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 122
Release :
ISBN-10 : 9781470410469
ISBN-13 : 147041046X
Rating : 4/5 (69 Downloads)

Book Synopsis Irreducible Almost Simple Subgroups of Classical Algebraic Groups by : Timothy C. Burness

Download or read book Irreducible Almost Simple Subgroups of Classical Algebraic Groups written by Timothy C. Burness and published by American Mathematical Soc.. This book was released on 2015-06-26 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let be a simple classical algebraic group over an algebraically closed field of characteristic with natural module . Let be a closed subgroup of and let be a nontrivial -restricted irreducible tensor indecomposable rational -module such that the restriction of to is irreducible. In this paper the authors classify the triples of this form, where and is a disconnected almost simple positive-dimensional closed subgroup of acting irreducibly on . Moreover, by combining this result with earlier work, they complete the classification of the irreducible triples where is a simple algebraic group over , and is a maximal closed subgroup of positive dimension.


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