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math.QA2018
Cyclic pairings and derived Poisson structures
Ajay C. Ramadoss, Yining Zhang
There is a canonical derived Poisson structure on the universal enveloping algebra of a (DG) Lie algebra that is Koszul dual to a cyclic co…
math.QA2016
Dual Hodge decompositions and derived Poisson brackets
Yuri Berest, Ajay C. Ramadoss, Yining Zhang
We study general properties of Hodge-type decompositions of cyclic and Hochschild homology of universal enveloping algebras of (DG) Lie algebras. Our construction generalizes the o…