Hochschild homology and cohomology of down–up algebras

We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi–Yau homogeneous down–up algebras. This family was defined by Benkart and Roby in [3] in their study of differential posets. Our calculations are completely explicit, by making use of th...

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Autores principales: Chouhy, S., Herscovich, E., Solotar, A.
Formato: JOUR
Materias:
Down–up algebra
Hochschild
Homology
Resolution
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v498_n_p102_Chouhy
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00218693_v498_n_p102_Chouhy2023-10-03T14:21:36Z Hochschild homology and cohomology of down–up algebras Chouhy, S. Herscovich, E. Solotar, A. Down–up algebra Hochschild Homology Resolution We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi–Yau homogeneous down–up algebras. This family was defined by Benkart and Roby in [3] in their study of differential posets. Our calculations are completely explicit, by making use of the Koszul bimodule resolution and some arguments similar to those used in [13] to compute the Hochschild cohomology of Yang–Mills algebras. © 2017 Elsevier Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v498_n_p102_Chouhy
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Down–up algebra
Hochschild
Homology
Resolution
spellingShingle Down–up algebra
Hochschild
Homology
Resolution
Chouhy, S.
Herscovich, E.
Solotar, A.
Hochschild homology and cohomology of down–up algebras
topic_facet Down–up algebra
Hochschild
Homology
Resolution
description We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi–Yau homogeneous down–up algebras. This family was defined by Benkart and Roby in [3] in their study of differential posets. Our calculations are completely explicit, by making use of the Koszul bimodule resolution and some arguments similar to those used in [13] to compute the Hochschild cohomology of Yang–Mills algebras. © 2017 Elsevier Inc.
format JOUR
author Chouhy, S.
Herscovich, E.
Solotar, A.
author_facet Chouhy, S.
Herscovich, E.
Solotar, A.
author_sort Chouhy, S.
title Hochschild homology and cohomology of down–up algebras
title_short Hochschild homology and cohomology of down–up algebras
title_full Hochschild homology and cohomology of down–up algebras
title_fullStr Hochschild homology and cohomology of down–up algebras
title_full_unstemmed Hochschild homology and cohomology of down–up algebras
title_sort hochschild homology and cohomology of down–up algebras
url http://hdl.handle.net/20.500.12110/paper_00218693_v498_n_p102_Chouhy
work_keys_str_mv AT chouhys hochschildhomologyandcohomologyofdownupalgebras
AT herscoviche hochschildhomologyandcohomologyofdownupalgebras
AT solotara hochschildhomologyandcohomologyofdownupalgebras
_version_ 1782025679248818176

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