Gelfand-Graev characters of the finite unitary groups

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dc.creatorThiem, Nathaniel
dc.creatorVinroot, C. Ryan
dc.date2006-11-01
dc.date.accessioned2026-07-07T07:32:24Z
dc.date.available2026-07-07T07:32:24Z
dc.descriptionGelfand-Graev characters and their degenerate counterparts have an important role in the representation theory of finite groups of Lie type. Using a characteristic map to translate the character theory of the finite unitary groups into the language of symmetric functions, we study degenerate Gelfand-Graev characters of the finite unitary group from a combinatorial point of view. In particular, we give the values of Gelfand-Graev characters at arbitrary elements, recover the decomposition multiplicities of degenerate Gelfand-Graev characters in terms of tableau combinatorics, and conclude with some multiplicity consequences.
dc.identifierhttps://arxiv.org/abs/math/0611010
dc.identifierhttp://arxiv.org/abs/math/0611010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119100
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20C33; 05E05
dc.titleGelfand-Graev characters of the finite unitary groups
dc.typetext

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