A Bijection between classes of Fully Packed Loops and Plane Partitions

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It has recently been observed empirically that the number of FPL configurations with 3 sets of a, b and c nested arches equals the number of plane partitions in a box of size a x b x c. In this note, this result is proved by constructing explicitly the bijection between these FPL and plane partitions.

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Combinatorics, Statistical Mechanics, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/69179

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311220
 http://arxiv.org/abs/math/0311220

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arXiv