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arXiv · 0906.2576

Hochschild and cyclic homology of Yang-Mills algebras

Estanislao Herscovich·Andrea Solotar
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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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Estanislao Herscovich, Andrea Solotar. 2009-06-14. Hochschild and cyclic homology of Yang-Mills algebras. https://arxiv.org/abs/0906.2576

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