P-Partitions and the plactic congruence |
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| Authors: | Claudia Malvenuto |
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| Affiliation: | (1) Department de Mathématiques et Informatique, Université du Québec à Montréal, Succ. A, Case Postale 8888, H3C 3P8 Montreal, Québec, Canada |
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| 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  / . 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 |
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