Irreducible Almost Simple Subgroups of Classical Algebraic Groups
Timothy C. Burness · Soumaia Ghandour · Claude Marion · Donna M. Testerman
Jun 2015 · American Mathematical Soc.
Ebook
110
Pages
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About this ebook
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.
About the author
Timothy C. Burness, University of Bristol, United Kingdom, Soumaïa Ghandour, Lebanese University, Nabatieh, Lebanon, Claude Marion, University of Fribourg, Switzerland, and Donna M. Testerman, École Polytechnique Fédérale de Lausanne, Switzerland
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