The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented

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dc.creatorRoos, Jan-Erik
dc.date2006-10-03
dc.date2007-02-09
dc.date.accessioned2026-07-07T07:45:34Z
dc.date.available2026-07-07T07:45:34Z
dc.descriptionWe present a theory that produces several examples where the homotopy Lie algebra of a complex hyperplane arrangement is not finitely presented. We also present examples of hyperplane arrangements where the enveloping algebra of this Lie algebra has an irrational Hilbert series. This answers two questions of Denham and Suciu.
dc.descriptionv2 New version now expanded to 27 pages. The irrationality question is now solved
dc.identifierhttps://arxiv.org/abs/math/0610126
dc.identifierhttp://arxiv.org/abs/math/0610126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123569
dc.subjectAlgebraic Topology
dc.subjectRings and Algebras
dc.subject16E05;52C35
dc.titleThe homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented
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