Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras

For every Ore extension we construct a chain complex giving its Hochschild homology. As an application we compute the Hochschild and cyclic homology of an arbitrary multiparametric affine space and the Hochschild homology of the algebra of differential operators over this space, in the generic case.

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Detalles Bibliográficos
Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 1997
Materias:
Cyclic homology
Hochschild homology
Ore extensions
Quantum groups
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v12_n3_p259_Guccione
http://hdl.handle.net/20.500.12110/paper_09203036_v12_n3_p259_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_09203036_v12_n3_p259_Guccione2023-06-08T15:50:05Z Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras Guccione, Jorge Alberto Guccione, Juan José Cyclic homology Hochschild homology Ore extensions Quantum groups For every Ore extension we construct a chain complex giving its Hochschild homology. As an application we compute the Hochschild and cyclic homology of an arbitrary multiparametric affine space and the Hochschild homology of the algebra of differential operators over this space, in the generic case. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v12_n3_p259_Guccione http://hdl.handle.net/20.500.12110/paper_09203036_v12_n3_p259_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Cyclic homology
Hochschild homology
Ore extensions
Quantum groups
spellingShingle Cyclic homology
Hochschild homology
Ore extensions
Quantum groups
Guccione, Jorge Alberto
Guccione, Juan José
Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras
topic_facet Cyclic homology
Hochschild homology
Ore extensions
Quantum groups
description For every Ore extension we construct a chain complex giving its Hochschild homology. As an application we compute the Hochschild and cyclic homology of an arbitrary multiparametric affine space and the Hochschild homology of the algebra of differential operators over this space, in the generic case.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
title Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras
title_short Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras
title_full Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras
title_fullStr Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras
title_full_unstemmed Hochschild and Cyclic Homology of Ore Extensions and Some Examples of Quantum Algebras
title_sort hochschild and cyclic homology of ore extensions and some examples of quantum algebras
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v12_n3_p259_Guccione
http://hdl.handle.net/20.500.12110/paper_09203036_v12_n3_p259_Guccione
work_keys_str_mv AT guccionejorgealberto hochschildandcyclichomologyoforeextensionsandsomeexamplesofquantumalgebras
AT guccionejuanjose hochschildandcyclichomologyoforeextensionsandsomeexamplesofquantumalgebras
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