Euler-Mahonian distributions of type $B_n$

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dc.creatorLai, Laurie M.
dc.creatorPetersen, T. Kyle
dc.date2008-10-29
dc.date2008-11-08
dc.date.accessioned2026-07-07T10:16:39Z
dc.date.available2026-07-07T10:16:39Z
dc.descriptionAdin, Brenti, and Roichman introduced the pairs of statistics $(\ndes, \nmaj)$ and $(\fdes, \fmaj)$. They showed that these pairs are equidistributed over the hyperoctahedral group $B_n$, and can be considered "Euler-Mahonian" in that they generalize the Carlitz identity. Further, they asked whether there exists a bijective proof of the equidistribution of their statistics. We give such a bijection, along with a new proof of the generalized Carlitz identity.
dc.description8 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0810.5330
dc.identifierhttp://arxiv.org/abs/0810.5330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173578
dc.subjectCombinatorics
dc.titleEuler-Mahonian distributions of type $B_n$
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