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Hochschild and cyclic homology of Yang-Mills algebras
Published 14 Jun 2009 in math.KT, math-ph, and math.MP | (0906.2576v2)
Abstract: The aim of this article is to compute the Hochschild and cyclic homology groups of Yang-Mills algebras, that have been defined by A. Connes and M. Dubois-Violette. We proceed here the study of these algebras that we have initiated in a previous article. The computation involves the use of a spectral sequence associated to the natural filtration on the enveloping algebra of the Lie Yang-Mills algebra. This filtration in provided by a Lie ideal which is free as Lie algebra.
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