Hochschild homology of twisted tensor products

We compute the Hochschild homology of some twisted tensor products of algebras, which are a natural generalization of the Ore extensions. We apply our result to the ring DQ,P(X, ∂/∂X) of differential operators of the multiparametric affine space, the ring Oq(spℂ2v) of coordinates of the quantum symp...

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Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 1999
Materias:
Hochschild homology
Quantum group
Twisted tensor products
Twisting maps
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v18_n4_p363_Guccione
http://hdl.handle.net/20.500.12110/paper_09203036_v18_n4_p363_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09203036_v18_n4_p363_Guccione
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spelling paper:paper_09203036_v18_n4_p363_Guccione2023-06-08T15:50:05Z Hochschild homology of twisted tensor products Guccione, Jorge Alberto Guccione, Juan José Hochschild homology Quantum group Twisted tensor products Twisting maps We compute the Hochschild homology of some twisted tensor products of algebras, which are a natural generalization of the Ore extensions. We apply our result to the ring DQ,P(X, ∂/∂X) of differential operators of the multiparametric affine space, the ring Oq(spℂ2v) of coordinates of the quantum symplectic 2v-dimensional space and the ring Oq(soℂ2v) of coordinates of the quantum 2v-dimensional Euclidean space. © 1999 Kluwer Academic Publishers. 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. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v18_n4_p363_Guccione http://hdl.handle.net/20.500.12110/paper_09203036_v18_n4_p363_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 Hochschild homology
Quantum group
Twisted tensor products
Twisting maps
spellingShingle Hochschild homology
Quantum group
Twisted tensor products
Twisting maps
Guccione, Jorge Alberto
Guccione, Juan José
Hochschild homology of twisted tensor products
topic_facet Hochschild homology
Quantum group
Twisted tensor products
Twisting maps
description We compute the Hochschild homology of some twisted tensor products of algebras, which are a natural generalization of the Ore extensions. We apply our result to the ring DQ,P(X, ∂/∂X) of differential operators of the multiparametric affine space, the ring Oq(spℂ2v) of coordinates of the quantum symplectic 2v-dimensional space and the ring Oq(soℂ2v) of coordinates of the quantum 2v-dimensional Euclidean space. © 1999 Kluwer Academic Publishers.
author Guccione, Jorge Alberto
Guccione, Juan José
author_facet Guccione, Jorge Alberto
Guccione, Juan José
author_sort Guccione, Jorge Alberto
title Hochschild homology of twisted tensor products
title_short Hochschild homology of twisted tensor products
title_full Hochschild homology of twisted tensor products
title_fullStr Hochschild homology of twisted tensor products
title_full_unstemmed Hochschild homology of twisted tensor products
title_sort hochschild homology of twisted tensor products
publishDate 1999
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v18_n4_p363_Guccione
http://hdl.handle.net/20.500.12110/paper_09203036_v18_n4_p363_Guccione
work_keys_str_mv AT guccionejorgealberto hochschildhomologyoftwistedtensorproducts
AT guccionejuanjose hochschildhomologyoftwistedtensorproducts
_version_ 1768541710489485312

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