From Permutahedron to Associahedron

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For each finite real reflection group $W$, we identify a copy of the type-$W$ simplicial generalised associahedron inside the corresponding simplicial permutahedron. This defines a bijection between the facets of the generalised associahedron and the elements of the type $W$ non-crossing partition lattice which is more tractable than previous such bijections. We show that the simplicial fan determined by this associahedron coincides with the Cambrian fan for $W$.
14 pages

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Combinatorics, Group Theory, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/158864

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.2331
 http://arxiv.org/abs/0804.2331

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arXiv