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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2017
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| 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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| Sumario: | 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. |
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