Descent Numbers and Major Indices for the Hyperoctahedral Group

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dc.creatorAdin, Ron M.
dc.creatorBrenti, Francesco
dc.creatorRoichman, Yuval
dc.date2000-12-14
dc.date.accessioned2026-07-07T04:39:13Z
dc.date.available2026-07-07T04:39:13Z
dc.descriptionWe introduce and study three new statistics on the hyperoctahedral group $B_{n}$, and show that they give two generalizations of Carlitz's identity for the descent number and major index over $S_{n}$. This answers a question posed by Foata.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0012111
dc.identifierhttp://arxiv.org/abs/math/0012111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60570
dc.subjectCombinatorics
dc.titleDescent Numbers and Major Indices for the Hyperoctahedral Group
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