227674
20181203024643.0
0025-5831
10.1007/s00208-016-1432-z
doi
000398175700011
ISI
ARTICLE
On irreducible subgroups of simple algebraic groups
Heidelberg
2017
Springer Heidelberg
2017
51
Journal Articles
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 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.
Burness, Timothy C.
Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
Marion, Claude
196415
243569
Testerman, Donna M.
133751
243571
1259-1309
3-4
Mathematische Annalen
367
GR-TES
252563
U12576
oai:infoscience.tind.io:227674
article
SB
133751
EPFL-ARTICLE-227674
EPFL
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