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...
| Autores principales: | , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00754102_v_n665_p73_Herscovich |
| Aporte de: |
| id |
todo:paper_00754102_v_n665_p73_Herscovich |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00754102_v_n665_p73_Herscovich2023-10-03T14:53:57Z Hochschild and cyclic homology of Yang-Mills algebras Herscovich, E. Solotar, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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. |
| format |
JOUR |
| author |
Herscovich, E. Solotar, A. |
| spellingShingle |
Herscovich, E. Solotar, A. Hochschild and cyclic homology of Yang-Mills algebras |
| author_facet |
Herscovich, E. Solotar, A. |
| author_sort |
Herscovich, E. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00754102_v_n665_p73_Herscovich |
| work_keys_str_mv |
AT herscoviche hochschildandcyclichomologyofyangmillsalgebras AT solotara hochschildandcyclichomologyofyangmillsalgebras |
| _version_ |
1807323289523060736 |