Mathematics – K-Theory and Homology
Scientific paper
2009-06-14
Mathematics
K-Theory and Homology
56 pages. To appear in Journal f\"ur die reine und angewandte Mathematik
Scientific paper
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.
Herscovich Estanislao
Solotar Andrea
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