Alvis-Curtis duality, central characters, and real-valued characters

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dc.creatorVinroot, C. Ryan
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:12Z
dc.date.available2026-07-07T10:14:12Z
dc.descriptionWe prove that Alvis-Curtis duality preserves the Frobenius-Schur indicators of characters of connected reductive groups of Lie type with connected center. This allows us to extend a result of D. Prasad which relates the Frobenius-Schur indicator of a regular real-valued character to its central character. We apply these results to compute the Frobenius-Schur indicators of certain real-valued, irreducible, Frobenius-invariant Deligne-Lusztig characters, and the Frobenius-Schur indicators of real-valued regular and semisimple characters of finite unitary groups.
dc.identifierhttps://arxiv.org/abs/0810.5513
dc.identifierhttp://arxiv.org/abs/0810.5513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172801
dc.subjectRepresentation Theory
dc.subject20C33, 20G05
dc.titleAlvis-Curtis duality, central characters, and real-valued characters
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