K^F-invariants in irreducible representations of G^F, when G=GL_n

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dc.creatorHenderson, Anthony
dc.date2001-07-24
dc.date2002-01-25
dc.date.accessioned2026-07-07T04:42:42Z
dc.date.available2026-07-07T04:42:42Z
dc.descriptionUsing a general result of Lusztig, we give explicit formulas for the dimensions of K^F-invariants in irreducible representations of G^F, when G=GL_n, F:G->G is a Frobenius map, and K is an F-stable subgroup of finite index in G^theta for some involution theta:G->G commuting with F. The proofs use some combinatorial facts about characters of symmetric groups.
dc.descriptionRevised version, 38 pages; same content, improved exposition
dc.identifierhttps://arxiv.org/abs/math/0107173
dc.identifierhttp://arxiv.org/abs/math/0107173
dc.identifierJ. Algebra 261 (2003), no. 1, 102--144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61896
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20G40 (Primary) 20C15 (Secondary)
dc.titleK^F-invariants in irreducible representations of G^F, when G=GL_n
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