Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras

We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschild cohomology space, together with the Lie module s...

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Autores principales: Artenstein, D., Lanzilotta, M., Solotar, A.
Formato: INPR
Materias:
Gerstenhaber algebra
Hochschild cohomology
Topology
Cohomology
Lie Algebra
Module structure
Algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Artenstein
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_1386923X_v_n_p_Artenstein2023-10-03T16:12:24Z Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras Artenstein, D. Lanzilotta, M. Solotar, A. Gerstenhaber algebra Hochschild cohomology Topology Cohomology Lie Algebra Module structure Algebra We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschild cohomology space, together with the Lie module structure of the whole Hochschild cohomology. © 2019, Springer Nature B.V. INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Artenstein
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Gerstenhaber algebra
Hochschild cohomology
Topology
Cohomology
Lie Algebra
Module structure
Algebra
spellingShingle Gerstenhaber algebra
Hochschild cohomology
Topology
Cohomology
Lie Algebra
Module structure
Algebra
Artenstein, D.
Lanzilotta, M.
Solotar, A.
Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
topic_facet Gerstenhaber algebra
Hochschild cohomology
Topology
Cohomology
Lie Algebra
Module structure
Algebra
description We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschild cohomology space, together with the Lie module structure of the whole Hochschild cohomology. © 2019, Springer Nature B.V.
format INPR
author Artenstein, D.
Lanzilotta, M.
Solotar, A.
author_facet Artenstein, D.
Lanzilotta, M.
Solotar, A.
author_sort Artenstein, D.
title Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
title_short Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
title_full Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
title_fullStr Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
title_full_unstemmed Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
title_sort gerstenhaber structure on hochschild cohomology of toupie algebras
url http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Artenstein
work_keys_str_mv AT artensteind gerstenhaberstructureonhochschildcohomologyoftoupiealgebras
AT lanzilottam gerstenhaberstructureonhochschildcohomologyoftoupiealgebras
AT solotara gerstenhaberstructureonhochschildcohomologyoftoupiealgebras
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