Semisimple symplectic characters of finite unitary groups

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dc.creatorVinroot, C. Ryan
dc.date2009-04-11
dc.date.accessioned2026-07-07T13:03:18Z
dc.date.available2026-07-07T13:03:18Z
dc.descriptionLet $G = {\rm U}(2m, {\mathbb F}_{q^2})$ be the finite unitary group, with $q$ the power of an odd prime $p$. We prove that the number of irreducible complex characters of $G$ with degree not divisible by $p$ and with Frobenius-Schur indicator -1 is $q^{m-1}$. We also obtain a combinatorial formula for the value of any character of ${\rm U}(n, {\mathbb F}_{q^2})$ at any central element, using the characteristic map of the finite unitary group.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0904.1820
dc.identifierhttp://arxiv.org/abs/0904.1820
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226750
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20C33, 05E05
dc.titleSemisimple symplectic characters of finite unitary groups
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