The $\hat W$-orbit of $ρ$, Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of Z

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dc.creatorCellini, Paola
dc.creatorFrajria, Pierluigi Moseneder
dc.creatorPapi, Paolo
dc.date2005-07-29
dc.date2006-04-08
dc.date.accessioned2026-07-07T10:08:53Z
dc.date.available2026-07-07T10:08:53Z
dc.descriptionLet an affine Weyl group $\hat W$ act as a group of affine transformations on a real vector space V. We analyze the $\hat W$-orbit of a regular element in V and deduce applications to Kostant's formula for powers of the Euler product and to the representations of $\hat W$ as permutations of the integers.
dc.descriptionLatex, 27 pages, minor corrections, to appear in Journal of Pure and Applied Algebra
dc.identifierhttps://arxiv.org/abs/math/0507610
dc.identifierhttp://arxiv.org/abs/math/0507610
dc.identifierJ. Pure Appl. Algebra 208 (2007), no. 3, 1103--1119.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171150
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleThe $\hat W$-orbit of $ρ$, Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of Z
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