Hochschild and cyclic homology of Yang-Mills algebras

2009/06/14 by Estanislao Herscovich, Herscovich, Estanislao, Andréa Solotar +1
Mathematics · #16E40 #16S32 #17B56 #70S15 #81T13 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0906.2576

openalex publication_date 2009/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Hochschild homology and cohomology of down-up algebras
• Hochschild homology of iterate skew polynomial rings
• On the homology of almost Calabi-Yau algebras associated to SU(3) modular invariants
• The collapse of the periodicity sequence in the stable range
• On the Hochschild homology of smash biproducts