Multivariate generalizations of the Foata-Schutzenberger equidistribution

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dc.creatorHivert, F.
dc.creatorNovelli, J. -C.
dc.creatorThibon, J. -Y.
dc.date2006-05-02
dc.date2006-05-10
dc.date.accessioned2026-07-07T07:13:51Z
dc.date.available2026-07-07T07:13:51Z
dc.descriptionA result of Foata and Schutzenberger states that two statistics on permutations, the number of inversions and the inverse major index, have the same distribution on a descent class. We give a multivariate generalization of this property: the sorted vectors of the Lehmer code, of the inverse majcode, and of a new code (the inverse saillance code), have the same distribution on a descent class, and their common multivariate generating function is a flagged ribbon Schur function.
dc.description17 pages, LaTex; Minor correction in the proof of Lemma 6.5; one reference added
dc.identifierhttps://arxiv.org/abs/math/0605060
dc.identifierhttp://arxiv.org/abs/math/0605060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112629
dc.subjectCombinatorics
dc.titleMultivariate generalizations of the Foata-Schutzenberger equidistribution
dc.typetext

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