Abstract
Let G be a simple algebraic group over an algebraically closed field K of characteristic p > 0, let H be a proper closed subgroup of G and let V be a nontrivial irreducible KGmodule, which is prestricted, tensor indecomposable and rational. Assume that the restriction of V to H is irreducible. In this paper, we study the triples (G, H, V ) of this form when G is a classical group and H is positivedimensional. Combined with earlier work of Dynkin, Seitz, Testerman and others, our main theorem reduces the problem of classifying the triples (G, H, V ) to the case where G is an orthogonal group, V is a spin module and H normalizes an orthogonal decomposition of the natural KGmodule.
Original language  English 

Pages (fromto)  12591309 
Number of pages  51 
Journal  Mathematische Annalen 
Volume  367 
Issue number  3 
Early online date  11 Jun 2016 
DOIs  
Publication status  Published  1 Apr 2017 
Keywords
 Primary 20G05
 Secondary 20E28
 20E32
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Professor Tim Burness
 School of Mathematics  Professor of Pure Mathematics
 Pure Mathematics
 Algebra
Person: Academic , Member