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Hodge Decomposition For Higher Order Hochschild Homology
"... this paper is to show that the higher order Hochschild homology in charecteristic zero case have naturaral decomposition, which for d = 1 is isomorphic to the classical Hodge decomposition ([L2]). Our methods are new even for d = 1 and are based on homological properties of \Gamma-modules. ..."
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this paper is to show that the higher order Hochschild homology in charecteristic zero case have naturaral decomposition, which for d = 1 is isomorphic to the classical Hodge decomposition ([L2]). Our methods are new even for d = 1 and are based on homological properties of \Gamma-modules.

