Representations of the general linear groups which are irreducible over subgroups

Alexander S. Kleshchev, Pham Huu Tiep

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We classify all triples (G, V,H) such that SLn(q) ≤ G ≤ GLn(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 languageEnglish (US)
Pages (from-to)425-473
Number of pages49
JournalAmerican Journal of Mathematics
Volume132
Issue number2
DOIs
StatePublished - Apr 2010

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General Linear Group
Maximal Subgroup
Classical Groups
Algebraically closed
Finite Group
Classify
Subgroup
Restriction

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Representations of the general linear groups which are irreducible over subgroups. / Kleshchev, Alexander S.; Tiep, Pham Huu.

In: American Journal of Mathematics, Vol. 132, No. 2, 04.2010, p. 425-473.

Research output: Contribution to journalArticle

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