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P-Partitions and the plactic congruence
Authors:Claudia Malvenuto
Institution:(1) Department de Mathématiques et Informatique, Université du Québec à Montréal, Succ. A, Case Postale 8888, H3C 3P8 Montreal, Québec, Canada
Abstract:A conjecture of Stanley states that if the generating function of a posetP is symmetric, then in factP belongs to the family of posets induced by some skew shape lambda/mgr. In this paper we show that if the setL(P) of the linear extensions of a posetP is plactic-closed, thenP is a poset induced by a skew shape.Supported by LA CIM-UQAM and Consiglio Nazionale delle Ricerche
Keywords:
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