From Permutahedron to Associahedron

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dc.creatorBrady, Thomas
dc.creatorWatt, Colum
dc.date2008-04-15
dc.date.accessioned2026-07-07T09:32:41Z
dc.date.available2026-07-07T09:32:41Z
dc.descriptionFor 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 $W$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0804.2331
dc.identifierhttp://arxiv.org/abs/0804.2331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158864
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject20F55
dc.titleFrom Permutahedron to Associahedron
dc.typetext

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