Batalin-Vilkovisky Algebras and Cyclic Cohomology of Hopf Algebras |
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Authors: | Luc Menichi |
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Institution: | (1) Associee Au CNRS, Faculte des Sciences, Universite d Angers, UMR 6093, 2 Boulevard Lavoisier, 49045 Angers, France |
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Abstract: | We show that the Connes–Moscovici negative cyclic cohomology of a Hopf algebra equipped with a character has a Lie bracket of degree -2. More generally, we show that a ![lsquo](/content/r61ln17522737478/xxlarge8216.gif) cyclic operad with multiplication is a cocyclic module whose simplicial cohomology is a Batalin–Vilkovisky algebra and whose negative cyclic cohomology is a graded Lie algebra of degree -2. This generalizes the fact that the Hochschild cohomology algebra of a symmetric algebra is a Batalin–Vilkovisky algebra. |
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Keywords: | Batalin– Vilkovisky algebra cyclic cohomology cyclic operad Hopf algebra Hochschild cohomology |
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