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- Title
On irreducible subgroups of simple algebraic groups.
- Authors
Burness, Timothy; Marion, Claude; Testerman, Donna
- Abstract
Let G be a simple algebraic group over an algebraically closed field K of characteristic $$p\geqslant 0$$ , let H be a proper closed subgroup of G and let V be a nontrivial irreducible KG-module, which is p-restricted, 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 positive-dimensional. 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 KG-module.
- Publication
Mathematische Annalen, 2017, Vol 367, Issue 3/4, p1259
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-016-1432-z