Geodesic
$C_{\infty}$-structure on the Cohomology of the Free 2-Nilpotent Lie Algebra
Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 99

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We consider the free 2-step nilpotent Lie algebra and its cohomology ring. The homotopy transfer induces a homotopy commutative algebra on its cohomology ring which we describe. We show that this cohomology is generated in degree 1 as $C_\infty$-algebra only by the induced binary and ternary operations.
Classification : 17B35 17B56 18G10 17D98 
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     author = {Michel Dubois-Violette and Todor Popov},
     title = {$C_{\infty}$-structure on the {Cohomology} of the {Free} {2-Nilpotent} {Lie} {Algebra}},
     journal = {Publications de l'Institut Math\'ematique},
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Michel Dubois-Violette; Todor Popov. $C_{\infty}$-structure on the Cohomology of the Free 2-Nilpotent Lie Algebra. Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 99 . http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a9/