Representations of the general linear groups which are irreducible over subgroups

Details Representations of the general linear groups which are irreducible over subgroups Representations of the general linear groups which are irreducible over subgroups

2008-11-17

arxiv.org/abs/0811.2766v1

Mathematics

Representation Theory

36 pages. Amer. J. Math., to appear

Scientific paper

We classify all triples $(G,V,H)$ such that $SL_n(q)\leq G\leq GL_n(q)$, $V$ is a representation of $G$ of dimension greater than one over an algebraically closed field $\FF$ of characteristic coprime to $q$, and $H$ is a proper subgroup of $G$ such that the restriction $V\dar_{H}$ is irreducible. This problem is a natural part of the Aschbacher-Scott program on maximal subgroups of finite classical groups.

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