]. Bibliographie and . Bustamante, The cohomology structure of string algebras, Journal of Pure and Applied Algebra, vol.204, issue.13, pp.616-626, 2006.

H. Cartan and S. Eilenberg, Homological Algebra. Princeton Mathematical Series, 1956.

S. Chouhy, Deformaciones de álgebras envolventes de álgebras de Lie de dimensión 3, 2012.

C. Cibils, Hochschild cohomology algebra of radical square zero, Algebras and modules II number CMS Conf. Proc., 24, pp.93-101, 1996.
DOI : 10.1007/pl00000389
URL : https://hal.archives-ouvertes.fr/hal-01493750

C. Cibils and A. Solotar, Hochschild cohomology algebra of abelian groups, Archiv der Mathematik, vol.122, issue.1, pp.17-21, 1997.
DOI : 10.1007/PL00000389

J. Dixmier, Algèbres enveloppantes. Cahiers Scientifiques, Bordas Editions, 1974.

K. Erdmann and T. Holm, Twisted bimodules and Hochschild cohomology for self-injective algebras of class An, Forum Mathematicum, vol.11, issue.2, pp.177-201, 1999.

K. Erdmann, T. Holm, and N. Snashall, Twisted bimodules and Hochschild cohomology for self-injective algebras of class An,II. Algebras and Representation Theory, pp.457-482, 2002.

C. Eu, The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers, Journal of Algebra, vol.320, issue.4, pp.1477-1530, 2008.
DOI : 10.1016/j.jalgebra.2008.02.020

J. Fan and Y. Xu, On Hochschild cohomology rings of Fibonacci algebras, Frontiers of Mathematics in China, vol.188, issue.2, pp.526-537, 2006.
DOI : 10.1007/s11464-006-0026-6

M. Gerstenhaber, The Cohomology Structure of an Associative Ring, The Annals of Mathematics, vol.78, issue.2, pp.267-288, 1963.
DOI : 10.2307/1970343

G. Hochschild, On the Cohomology Groups of an Associative Algebra, The Annals of Mathematics, vol.46, issue.1, pp.58-67, 1945.
DOI : 10.2307/1969145

T. Holm, The hochschild cohomology ring of a modular group algebra: the commutative case, Communications in Algebra, vol.31, issue.6, pp.1957-1969, 1996.
DOI : 10.2307/1970771

T. Lambre, Dualité de Van den Bergh et structure de Batalin-Vilkoviski? ? sur les algèbres de Calabi-Yau, J. Noncommut. Geom, vol.4, issue.3, pp.441-457, 2010.
DOI : 10.4171/jncg/62

J. Loday, Cyclic Homology. Grundlehren der mathematischen Wissenschaften, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01267296

C. Negron and S. Witherspoon, An alternate approach to the Lie bracket on Hochschild cohomology, Homology, Homotopy and Applications, vol.18, issue.1, pp.265-285, 2016.
DOI : 10.4310/HHA.2016.v18.n1.a14

P. Nuss, L'homologie cyclique des alg??bres enveloppantes des alg??bres de lie de dimension trois, Journal of Pure and Applied Algebra, vol.73, issue.1, pp.39-71, 1991.
DOI : 10.1016/0022-4049(91)90105-B

S. Riviere, On the isomorphism between Hochschild and Chevalley-Eilenberg cohomologies, Thèse, 2012.
URL : https://hal.archives-ouvertes.fr/tel-00785201

S. Sánchez-flores, The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero, Journal of Algebra, vol.320, issue.12, pp.4249-4269, 2008.
DOI : 10.1016/j.jalgebra.2008.08.027

S. Sánchez-flores, The Lie structure on the Hochschild cohomology of a modular group algebra, Journal of Pure and Applied Algebra, vol.216, issue.3, pp.718-733, 2012.
DOI : 10.1016/j.jpaa.2011.08.007

R. Sridharan, Filtered algebras and representations of Lie algebras. Transactions of the, pp.530-550, 1961.
DOI : 10.2307/1993527

C. Strametz, THE LIE ALGEBRA STRUCTURE ON THE FIRST HOCHSCHILD COHOMOLOGY GROUP OF A MONOMIAL ALGEBRA, Journal of Algebra and Its Applications, vol.73, issue.03, pp.245-270, 2006.
DOI : 10.1017/CBO9781139644136
URL : https://hal.archives-ouvertes.fr/hal-00122000

S. Witherspoon and G. Zhou, Gerstenhaber brackets on Hochschild cohomology of quantum symmetric algebras and their group extensions, Pacific Journal of Mathematics, vol.43, issue.1, pp.223-255, 2016.
DOI : 10.5802/aif.1366