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
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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},
     pages = {99 },
     year = {2013},
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     number = {108},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a9/}
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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/