Rim Hook Tableaux and Kostant's $η$-Function Coefficients

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dc.creatorAdin, Ron M.
dc.creatorFrumkin, Avital
dc.date2001-12-31
dc.date2004-03-31
dc.date.accessioned2026-07-07T04:45:37Z
dc.date.available2026-07-07T04:45:37Z
dc.descriptionUsing a 0/1 encoding of Young diagrams and its consequences for rim hook tableaux, we prove a reduction formula of Littlewood for arbitrary characters of the symmetric group, evaluated at elements with all cycle lengths divisible by a given integer. As an application, we find explicitly the coefficients in a formula of Kostant for certain powers of the Dedekind $η$-function, avoiding most of the original machinery.
dc.description24 pages; minor changes, more detailed introduction
dc.identifierhttps://arxiv.org/abs/math/0201003
dc.identifierhttp://arxiv.org/abs/math/0201003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63020
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleRim Hook Tableaux and Kostant's $η$-Function Coefficients
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