On refined enumerations of totally symmetric self-complementary plane partitions I

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In this paper we give Pfaffian expressions and constant term identities for the enumeration problems presented by Mills, Robbins and Rumsey (``Self-complementary totally symmetric plane partitions'' J. Combin. Theory Ser. A, 42, 277--292), concerning the totally symmetric self-complementary plane partitions (TSSCPPs). We also present some new conjectures and give Pfaffian expressions for them.
39 pages, 2 figures

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Combinatorics, Representation Theory, 05A15; 05A17, 05E05, 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/108845

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602068
 http://arxiv.org/abs/math/0602068

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arXiv