Tensor products of irreducible representations of the group G = GL(3,q)

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dc.creatorAburto-Hageman, L.
dc.creatorPantoja, J.
dc.creatorSoto-Andrade, J.
dc.date2009-01-02
dc.date.accessioned2026-07-07T12:24:28Z
dc.date.available2026-07-07T12:24:28Z
dc.descriptionWe describe the tensor products of two irreducible linear complex representations of the finite general linear group G = GL(3,q) in terms of induced representations by linear characters of maximal torii and also in terms of Gelfand-Graev representations. Our results include MacDonald's conjectures for G and at the same time they are extensions to G of finite counterparts to classical results on tensor products of holomorphic and anti-holomorphic representations of the group SL(2, R). Moreover they provide an easy way to decompose these tensor products, with the help of Frobenius reciprocity. We also state some conjectures for the general case of GL(n,q).
dc.descriptionamsart, 10 pages, no figures, submitted to manuscripta mathematica
dc.identifierhttps://arxiv.org/abs/0901.0292
dc.identifierhttp://arxiv.org/abs/0901.0292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214336
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C33, 20C15
dc.titleTensor products of irreducible representations of the group G = GL(3,q)
dc.typetext

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