Free hyperplane arrangements associated to labeled rooted trees

dc.creatorChapoton, Frederic
dc.date2003-01-31
dc.date2003-02-17
dc.date.accessioned2026-07-07T04:54:48Z
dc.date.available2026-07-07T04:54:48Z
dc.descriptionEach labeled rooted tree is associated with a hyperplane arrangement, which is free with exponents given by the depths of the vertices of this tree. The intersection lattices of these arrangements are described through posets of forests. These posets are used to define coalgebras, whose dual algebras are shown to have a simple presentation by generators and relations.
dc.description16 pages, 3 figures, additional material on the topology of the complement and references added on supersolvable lattices and graphical arrangements
dc.identifierhttps://arxiv.org/abs/math/0301372
dc.identifierhttp://arxiv.org/abs/math/0301372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66401
dc.subjectCombinatorics
dc.subjectPrimary 52C35,05C05 Secondary 06C10,16W30
dc.titleFree hyperplane arrangements associated to labeled rooted trees
dc.typetext

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