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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Elsevier B.V.
2017
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| 100 | 1 | |a Suárez-Álvarez, M. | |
| 245 | 1 | 2 | |a A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket |
| 260 | |b Elsevier B.V. |c 2017 | ||
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Farinati, M., Hochschild duality, localization, and smash products (2005) J. Algebra, 284 (1), pp. 415-434. , MR2115022 | ||
| 504 | |a Gerstenhaber, M., The cohomology structure of an associative ring (1963) Ann. Math. (2), 78, pp. 267-288. , MR0161898 | ||
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| 504 | |a Locateli, A.C., Hochschild cohomology of truncated quiver algebras (1999) Commun. Algebra, 27 (2), pp. 645-664. , MR1671958 | ||
| 504 | |a Loday, J.-L., Cyclic Homology (1998) Grundlehren Math. Wiss., 301. , 2nd ed. Fundamental Principles of Mathematical Sciences MR1600246 | ||
| 504 | |a Negron, C., Alternate Approaches to the Cup Product and Gerstenhaber Bracket on Hochschild Cohomology (2015), Ph.D. thesis University of Washington Seattle, WA, United States MR3438933; Negron, C., Witherspoon, S., An alternate approach to the Lie bracket on Hochschild cohomology (2015), http://arxiv.org/abs/1406.0036v3; Retakh, V.S., Homotopy properties of categories of extensions (1986) Usp. Mat. Nauk, 41 (6(252)), pp. 179-180. , MR890505 | ||
| 504 | |a Román, L., La cohomología de Hochschild de álgebras de cuerdas y su estructura de álgebra de Gerstenhaber (2016), Ph.D. thesis Universidad Nacional del Sur, Bahía Blanca Argentina; Shepler, A.V., Witherspoon, S., Hochschild cohomology and graded Hecke algebras (2008) Trans. Am. Math. Soc., 360 (8), pp. 3975-4005. , MR2395161 | ||
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| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428) Ciudad de Buenos Aires, Argentina | ||
| 773 | 0 | |d Elsevier B.V., 2017 |g v. 221 |h pp. 1981-1998 |k n. 8 |p J. Pure Appl. Algebra |x 00224049 |w (AR-BaUEN)CENRE-5772 |t Journal of Pure and Applied Algebra | |
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| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jpaa.2016.10.015 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00224049_v221_n8_p1981_SuarezAlvarez |y Handle |
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