Poincare series of subsets of affine Weyl groups

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dc.creatorViswanath, Sankaran
dc.date2006-03-08
dc.date.accessioned2026-07-07T07:06:38Z
dc.date.available2026-07-07T07:06:38Z
dc.descriptionIn this note, we identify a natural class of subsets of affine Weyl groups whose Poincare series are rational functions. This class includes the sets of minimal coset representatives of reflection subgroups. As an application, we construct a generalization of the classical length-descent generating function, and prove its rationality.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0603175
dc.identifierhttp://arxiv.org/abs/math/0603175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110099
dc.subjectCombinatorics
dc.subject05E15
dc.titlePoincare series of subsets of affine Weyl groups
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