Hochschild and cyclic homology of Yang-Mills algebras
نویسنده
چکیده
The aim of this article is to compute the Hochschild and cyclic homology groups of the Yang-Mills algebras YM(n) (n ∈ N≥2) defined by A. Connes and M. Dubois-Violette in [CD1], continuing thus the study of these algebras that we have initiated in [HS]. The computation involves the use of a spectral sequence associated to the natural filtration on the universal enveloping algebra YM(n) provided by a Lie ideal tym(n) in ym(n) which is free as Lie algebra. 2000 Mathematics Subject Classification: 16E40, 16S32, 17B56, 70S15, 81T13.
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