Cyclic sieving for longest reduced words in the hyperoctahedral group

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dc.creatorPetersen, T. Kyle
dc.creatorSerrano, Luis
dc.date2009-05-16
dc.date.accessioned2026-07-07T13:15:53Z
dc.date.available2026-07-07T13:15:53Z
dc.descriptionWe show that the set R(w_0) of reduced expressions for the longest element in the hyperoctahedral group exhibits the cyclic sieving phenomenon. More specifically, R(w_0) possesses a natural cyclic action given by moving the first letter of a word to the end, and we show that the orbit structure of this action is encoded by the generating function for the major index on R(w_0).
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0905.2650
dc.identifierhttp://arxiv.org/abs/0905.2650
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230616
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.titleCyclic sieving for longest reduced words in the hyperoctahedral group
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