Irreducible Almost Simple Subgroups of Classical Algebraic Groups
Author | : Timothy C. Burness |
Publisher | : American Mathematical Soc. |
Total Pages | : 122 |
Release | : 2015-06-26 |
ISBN-10 | : 9781470410469 |
ISBN-13 | : 147041046X |
Rating | : 4/5 (69 Downloads) |
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.