A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket

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 ma...

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Autor principal: Suárez-Alvarez, Mariano
Publicado: 2017
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v221_n8_p1981_SuarezAlvarez
http://hdl.handle.net/20.500.12110/paper_00224049_v221_n8_p1981_SuarezAlvarez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00224049_v221_n8_p1981_SuarezAlvarez
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spelling paper:paper_00224049_v221_n8_p1981_SuarezAlvarez2023-06-08T14:50:43Z A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket Suárez-Alvarez, Mariano 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. Fil:Suárez-Álvarez, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v221_n8_p1981_SuarezAlvarez http://hdl.handle.net/20.500.12110/paper_00224049_v221_n8_p1981_SuarezAlvarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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.
author Suárez-Alvarez, Mariano
spellingShingle Suárez-Alvarez, Mariano
A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
author_facet Suárez-Alvarez, Mariano
author_sort Suárez-Alvarez, Mariano
title A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_short A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_full A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_fullStr A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_full_unstemmed A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_sort little bit of extra functoriality for ext and the computation of the gerstenhaber bracket
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v221_n8_p1981_SuarezAlvarez
http://hdl.handle.net/20.500.12110/paper_00224049_v221_n8_p1981_SuarezAlvarez
work_keys_str_mv AT suarezalvarezmariano alittlebitofextrafunctorialityforextandthecomputationofthegerstenhaberbracket
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