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Abstract:

The aim of this article is to present a detailed algebraic computation of the Hochschild and cyclic homology groups of the Yang-Mills algebras YM(n) (n ε ℕ ≥2) defined by A. Connes and M. Dubois-Violette in [8], continuing thus the study of these algebras that we have initiated in [17]. 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 tnm(n) in nm(n) which is free as Lie algebra. As a corollary, we describe the Lie structure of the first Hochschild cohomology group. © Walter de Gruyter.

Registro:

Documento: Artículo
Título:Hochschild and cyclic homology of Yang-Mills algebras
Autor:Herscovich, E.; Solotar, A.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428, Buenos Aires, Argentina
Año:2012
Número:665
Página de inicio:73
Página de fin:156
DOI: http://dx.doi.org/10.1515/CRELLE.2011.107
Título revista:Journal fur die Reine und Angewandte Mathematik
Título revista abreviado:J. Reine Angew. Math.
ISSN:00754102
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00754102_v_n665_p73_Herscovich

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Citas:

---------- APA ----------
Herscovich, E. & Solotar, A. (2012) . Hochschild and cyclic homology of Yang-Mills algebras. Journal fur die Reine und Angewandte Mathematik(665), 73-156.
http://dx.doi.org/10.1515/CRELLE.2011.107
---------- CHICAGO ----------
Herscovich, E., Solotar, A. "Hochschild and cyclic homology of Yang-Mills algebras" . Journal fur die Reine und Angewandte Mathematik, no. 665 (2012) : 73-156.
http://dx.doi.org/10.1515/CRELLE.2011.107
---------- MLA ----------
Herscovich, E., Solotar, A. "Hochschild and cyclic homology of Yang-Mills algebras" . Journal fur die Reine und Angewandte Mathematik, no. 665, 2012, pp. 73-156.
http://dx.doi.org/10.1515/CRELLE.2011.107
---------- VANCOUVER ----------
Herscovich, E., Solotar, A. Hochschild and cyclic homology of Yang-Mills algebras. J. Reine Angew. Math. 2012(665):73-156.
http://dx.doi.org/10.1515/CRELLE.2011.107