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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Guardado en:
Detalles Bibliográficos
Publicado: 2018
Materias:
Down–up algebra
Hochschild
Homology
Resolution
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v498_n_p102_Chouhy
http://hdl.handle.net/20.500.12110/paper_00218693_v498_n_p102_Chouhy
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00218693_v498_n_p102_Chouhy
record_format dspace
spelling paper:paper_00218693_v498_n_p102_Chouhy2023-06-08T14:42:30Z Hochschild homology and cohomology of down–up algebras 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. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v498_n_p102_Chouhy 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
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.
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
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v498_n_p102_Chouhy
http://hdl.handle.net/20.500.12110/paper_00218693_v498_n_p102_Chouhy
_version_ 1768542924645072896

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