Hochschild and cyclic homology of Yang-Mills algebras

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 computat...

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Autor principal: Solotar, Andrea Leonor
Publicado: 2012
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00754102_v_n665_p73_Herscovich
http://hdl.handle.net/20.500.12110/paper_00754102_v_n665_p73_Herscovich
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00754102_v_n665_p73_Herscovich2023-06-08T15:07:08Z Hochschild and cyclic homology of Yang-Mills algebras Solotar, Andrea Leonor 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. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00754102_v_n665_p73_Herscovich http://hdl.handle.net/20.500.12110/paper_00754102_v_n665_p73_Herscovich
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
author Solotar, Andrea Leonor
spellingShingle Solotar, Andrea Leonor
Hochschild and cyclic homology of Yang-Mills algebras
author_facet Solotar, Andrea Leonor
author_sort Solotar, Andrea Leonor
title Hochschild and cyclic homology of Yang-Mills algebras
title_short Hochschild and cyclic homology of Yang-Mills algebras
title_full Hochschild and cyclic homology of Yang-Mills algebras
title_fullStr Hochschild and cyclic homology of Yang-Mills algebras
title_full_unstemmed Hochschild and cyclic homology of Yang-Mills algebras
title_sort hochschild and cyclic homology of yang-mills algebras
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00754102_v_n665_p73_Herscovich
http://hdl.handle.net/20.500.12110/paper_00754102_v_n665_p73_Herscovich
work_keys_str_mv AT solotarandrealeonor hochschildandcyclichomologyofyangmillsalgebras
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