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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
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
Palabras clave:Gerstenhaber algebra; Hochschild cohomology; Topology; Cohomology; Lie Algebra; Module structure; Algebra
Año:2019
DOI: http://dx.doi.org/10.1007/s10468-019-09854-y
Título revista:Algebras and Representation Theory
Título revista abreviado:Algebr Represent Theory
ISSN:1386923X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v_n_p_Artenstein

Referencias:

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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