MacMahon-type Identities for Signed Even Permutations

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dc.creatorBernstein, Dan
dc.date2004-05-18
dc.date.accessioned2026-07-07T05:08:22Z
dc.date.available2026-07-07T05:08:22Z
dc.descriptionMacMahon's classic theorem states that the 'length' and 'major index' statistics are equidistributed on the symmetric group S_n. By defining natural analogues or generalizations of those statistics, similar equidistribution results have been obtained for the alternating group A_n by Regev and Roichman, for the hyperoctahedral group B_n by Adin, Brenti and Roichman, and for the group of even-signed permutations D_n by Biagioli. We prove analogues of MacMahon's equidistribution theorem for the group of signed even permutations and for its subgroup of even-signed even permutations.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0405346
dc.identifierhttp://arxiv.org/abs/math/0405346
dc.identifierElectronic Journal of Combinatorics 11 (2004), #R83
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71233
dc.subjectCombinatorics
dc.subject05A15; 05A19
dc.titleMacMahon-type Identities for Signed Even Permutations
dc.typetext

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