Lattices in finite real reflection groups

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dc.creatorBrady, Thomas
dc.creatorWatt, Colum
dc.date2005-01-28
dc.date.accessioned2026-07-07T05:16:28Z
dc.date.available2026-07-07T05:16:28Z
dc.descriptionFor a finite real reflection group $W$ with Coxeter element $γ$ we give a uniform proof that the closed interval, $[I, γ]$ forms a lattice in the partial order on $W$ induced by reflection length. The proof involves the construction of a simplicial complex which can be embedded in the type W simplicial generalised associahedron.
dc.description29 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0501502
dc.identifierhttp://arxiv.org/abs/math/0501502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73999
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject20F55
dc.titleLattices in finite real reflection groups
dc.typetext

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