Representations of the general linear groups which are irreducible over subgroups

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dc.creatorKleshchev, Alexander S.
dc.creatorTiep, Pham Huu
dc.date2008-11-17
dc.date.accessioned2026-07-07T10:18:53Z
dc.date.available2026-07-07T10:18:53Z
dc.descriptionWe 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.
dc.description36 pages. Amer. J. Math., to appear
dc.identifierhttps://arxiv.org/abs/0811.2766
dc.identifierhttp://arxiv.org/abs/0811.2766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174345
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C20, 20E28, 20G40
dc.titleRepresentations of the general linear groups which are irreducible over subgroups
dc.typetext

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