The number of monotone triangles with prescribed bottom row

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dc.creatorFischer, Ilse
dc.date2005-01-07
dc.date.accessioned2026-07-07T05:15:54Z
dc.date.available2026-07-07T05:15:54Z
dc.descriptionWe show that the number of monotone triangles with prescribed bottom row (k_1,...,k_n) is given by a simple product formula which remarkably involves (shift) operators. Monotone triangles with bottom row (1,2,...,n) are in bijection with $n \times n$ alternating sign matrices.
dc.identifierhttps://arxiv.org/abs/math/0501102
dc.identifierhttp://arxiv.org/abs/math/0501102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73791
dc.subjectCombinatorics
dc.titleThe number of monotone triangles with prescribed bottom row
dc.typetext

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