Publication

Hochschild and cyclic homology of Yang–Mills algebras

2012
Journal paper

Abstract

The aim of this article is to present a detailed algebraic computation ofthe Hochschild and cyclic homology groups of the Yang–Mills algebras YMðnÞ(nANf2)defined by A. Connes and M. Dubois-Violette in [8], continuing thus the study of thesealgebras that we have initiated in [17]. The computation involves the use of a spectralsequence associated to the natural filtration on the universal enveloping algebra YMðnÞprovided by a Lie idealtymðnÞinymðnÞwhich is free as Lie algebra. As a corollary, wedescribe the Lie structure of the first Hochschild cohomology group.

Official source

https://infoscience.epfl.ch/record/307039?ln=en

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Hochschild and cyclic homology of Yang–Mills algebras

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