2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69221We 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.19 pagesQuantum AlgebraAlgebraic Topology16W30, 19D55, 16E40, 18D50text