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Abstract:

We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH•(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective resolution of A as an A-bimodule, without having recourse to comparison maps between the resolution and the bar resolution. © 2016 Elsevier B.V.

Registro:

Documento: Artículo
Título:A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
Autor:Suárez-Álvarez, M.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428) Ciudad de Buenos Aires, Argentina
Año:2017
Volumen:221
Número:8
Página de inicio:1981
Página de fin:1998
DOI: http://dx.doi.org/10.1016/j.jpaa.2016.10.015
Título revista:Journal of Pure and Applied Algebra
Título revista abreviado:J. Pure Appl. Algebra
ISSN:00224049
CODEN:JPAAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v221_n8_p1981_SuarezAlvarez

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Citas:

---------- APA ----------
(2017) . A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket. Journal of Pure and Applied Algebra, 221(8), 1981-1998.
http://dx.doi.org/10.1016/j.jpaa.2016.10.015
---------- CHICAGO ----------
Suárez-Álvarez, M. "A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket" . Journal of Pure and Applied Algebra 221, no. 8 (2017) : 1981-1998.
http://dx.doi.org/10.1016/j.jpaa.2016.10.015
---------- MLA ----------
Suárez-Álvarez, M. "A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket" . Journal of Pure and Applied Algebra, vol. 221, no. 8, 2017, pp. 1981-1998.
http://dx.doi.org/10.1016/j.jpaa.2016.10.015
---------- VANCOUVER ----------
Suárez-Álvarez, M. A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket. J. Pure Appl. Algebra. 2017;221(8):1981-1998.
http://dx.doi.org/10.1016/j.jpaa.2016.10.015