Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras

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dc.creatorMenichi, Luc
dc.date2003-11-17
dc.date.accessioned2026-07-07T05:02:58Z
dc.date.available2026-07-07T05:02:58Z
dc.descriptionWe show that the Connes-Moscovici cyclic cohomology of a Hopf algebra equipped with a character has a Lie bracket of degree -2. More generally, we show that a "cyclic operad with multiplication" is a cocyclic module whose cohomology is a Batalin-Vilkovisky algebra and whose cyclic cohomology is a graded Lie algebra of degree -2. This explain why the Hochschild cohomology algebra of a symmetric algebra is a Batalin-Vilkovisky algebra.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0311276
dc.identifierhttp://arxiv.org/abs/math/0311276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69221
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subject16W30, 19D55, 16E40, 18D50
dc.titleBatalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
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