The operator formula for monotone triangles - simplified proof and three generalizations

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dc.creatorFischer, Ilse
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:07Z
dc.date.available2026-07-07T12:57:07Z
dc.descriptionWe provide a simplified proof of our operator formula for the number of monotone triangles with prescribed bottom row, which enables us to deduce three generalizations of the formula. One of the generalizations concerns a certain weighted enumeration of monotone triangles which specializes to the weighted enumeration of alternating sign matrices with respect to the number of -1s in the matrix when prescribing $(1,2,...,n)$ as the bottom row of the monotone triangle.
dc.identifierhttps://arxiv.org/abs/0903.4628
dc.identifierhttp://arxiv.org/abs/0903.4628
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224816
dc.subjectCombinatorics
dc.subject05A15
dc.titleThe operator formula for monotone triangles - simplified proof and three generalizations
dc.typetext

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