@article{Burness:227674,
title = {On irreducible subgroups of simple algebraic groups},
author = {Burness, Timothy C. and Marion, Claude and Testerman, Donna M.},
publisher = {Springer Heidelberg},
journal = {Mathematische Annalen},
address = {Heidelberg},
number = {3-4},
volume = {367},
pages = {51. 1259-1309},
year = {2017},
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 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.},
url = {http://infoscience.epfl.ch/record/227674},
doi = {10.1007/s00208-016-1432-z},
}