Hochschild and cyclic homology of YangMills algebras
Abstract
The aim of this article is to compute the Hochschild and cyclic homology groups of YangMills algebras, that have been defined by A. Connes and M. DuboisViolette. 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 YangMills algebra. This filtration in provided by a Lie ideal which is free as Lie algebra.
 Publication:

arXiv eprints
 Pub Date:
 June 2009
 DOI:
 10.48550/arXiv.0906.2576
 arXiv:
 arXiv:0906.2576
 Bibcode:
 2009arXiv0906.2576H
 Keywords:

 Mathematics  KTheory and Homology;
 Mathematical Physics;
 16E40;
 16S32;
 17B56;
 70S15;
 81T13
 EPrint:
 56 pages. To appear in Journal f\"ur die reine und angewandte Mathematik