Hochschild and cyclic homology of Yang–Mills algebras
- Autores
- Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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 ∈ 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 (n) in (n) which is free as Lie algebra. As a corollary, we describe the Lie structure of the first Hochschild cohomology group.
Fil: Herscovich Ramoneda, Estanislao Benito. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Solotar, Andrea Leonor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
Yang-Mills
Homology Theory
Hochschild Homology
Cyclic Homology - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/19944
Ver los metadatos del registro completo
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Hochschild and cyclic homology of Yang–Mills algebrasHerscovich Ramoneda, Estanislao BenitoSolotar, Andrea LeonorYang-MillsHomology TheoryHochschild HomologyCyclic Homologyhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The 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 ∈ 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 (n) in (n) which is free as Lie algebra. As a corollary, we describe the Lie structure of the first Hochschild cohomology group.Fil: Herscovich Ramoneda, Estanislao Benito. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Solotar, Andrea Leonor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaDe Gruyter2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19944Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Hochschild and cyclic homology of Yang–Mills algebras; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2012; 665; 4-2012; 73-1560075-4102CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1515/CRELLE.2011.107info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/crll.2012.2012.issue-665/CRELLE.2011.107/CRELLE.2011.107.xmlinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0906.2576info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:52:14Zoai:ri.conicet.gov.ar:11336/19944instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:52:14.743CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Hochschild and cyclic homology of Yang–Mills algebras |
| title |
Hochschild and cyclic homology of Yang–Mills algebras |
| spellingShingle |
Hochschild and cyclic homology of Yang–Mills algebras Herscovich Ramoneda, Estanislao Benito Yang-Mills Homology Theory Hochschild Homology Cyclic Homology |
| 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 |
| dc.creator.none.fl_str_mv |
Herscovich Ramoneda, Estanislao Benito Solotar, Andrea Leonor |
| author |
Herscovich Ramoneda, Estanislao Benito |
| author_facet |
Herscovich Ramoneda, Estanislao Benito Solotar, Andrea Leonor |
| author_role |
author |
| author2 |
Solotar, Andrea Leonor |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Yang-Mills Homology Theory Hochschild Homology Cyclic Homology |
| topic |
Yang-Mills Homology Theory Hochschild Homology Cyclic Homology |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
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 ∈ 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 (n) in (n) which is free as Lie algebra. As a corollary, we describe the Lie structure of the first Hochschild cohomology group. Fil: Herscovich Ramoneda, Estanislao Benito. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Solotar, Andrea Leonor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
| 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 ∈ 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 (n) in (n) which is free as Lie algebra. As a corollary, we describe the Lie structure of the first Hochschild cohomology group. |
| publishDate |
2012 |
| dc.date.none.fl_str_mv |
2012-04 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/19944 Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Hochschild and cyclic homology of Yang–Mills algebras; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2012; 665; 4-2012; 73-156 0075-4102 CONICET Digital CONICET |
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http://hdl.handle.net/11336/19944 |
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Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Hochschild and cyclic homology of Yang–Mills algebras; De Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 2012; 665; 4-2012; 73-156 0075-4102 CONICET Digital CONICET |
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eng |
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eng |
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openAccess |
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De Gruyter |
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De Gruyter |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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