Representations of the general linear groups which are irreducible over subgroups

Alexander S. Kleshchev; Pham Huu Tiep

doi:10.1353/ajm.0.0108

Representations of the general linear groups which are irreducible over subgroups

Alexander S. Kleshchev, Pham Huu Tiep

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We classify all triples (G, V,H) such that SL_n(q) ≤ G ≤ GL_n(q), V is a representation of G of dimension greater than one over an algebraically closed field F of characteristic prime to q, and H is a proper subgroup of G such that the restriction V↓_H is irreducible. This problem is a natural part of the Aschbacher-Scott program on maximal subgroups in finite classical groups.

Original language	English (US)
Pages (from-to)	425-473
Number of pages	49
Journal	American Journal of Mathematics
Volume	132
Issue number	2
DOIs	https://doi.org/10.1353/ajm.0.0108
State	Published - Apr 2010
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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Representations of the general linear groups which are irreducible over subgroups

Abstract

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