Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras |
Autor: | Artenstein, D.; Lanzilotta, M.; Solotar, A. |
Filiación: | Instituto de Matemática y Estadística “Rafael Laguardia”, Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, Montevideo, Uruguay IMAS and Dto. de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
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Palabras clave: | Gerstenhaber algebra; Hochschild cohomology; Topology; Cohomology; Lie Algebra; Module structure; Algebra |
Año: | 2019
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DOI: |
http://dx.doi.org/10.1007/s10468-019-09854-y |
Título revista: | Algebras and Representation Theory
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Título revista abreviado: | Algebr Represent Theory
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ISSN: | 1386923X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v_n_p_Artenstein |
Referencias:
- Artenstein, D., (2015) Cohomología De Hochschild Y Estructura De Gerstenhaber De Las álgebras Toupie, Universidad De La República, , http://www.cmat.edu.uy/cmat/biblioteca/documentos/tesis/tesis-de-doctorado/phdthesisreference.2016-05-03.1935241415
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Citas:
---------- APA ----------
Artenstein, D., Lanzilotta, M. & Solotar, A.
(2019)
. Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras. Algebras and Representation Theory.
http://dx.doi.org/10.1007/s10468-019-09854-y---------- CHICAGO ----------
Artenstein, D., Lanzilotta, M., Solotar, A.
"Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras"
. Algebras and Representation Theory
(2019).
http://dx.doi.org/10.1007/s10468-019-09854-y---------- MLA ----------
Artenstein, D., Lanzilotta, M., Solotar, A.
"Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras"
. Algebras and Representation Theory, 2019.
http://dx.doi.org/10.1007/s10468-019-09854-y---------- VANCOUVER ----------
Artenstein, D., Lanzilotta, M., Solotar, A. Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras. Algebr Represent Theory. 2019.
http://dx.doi.org/10.1007/s10468-019-09854-y