$C_\infty$-structure on the cohomology of free 2-nilpotent Lie algebra

Michel Dubois-Violette (1) , Todor Popov (2)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
2 INRNE - Institute for Nuclear Research and Nuclear Energy

We consider the free 2-step nilpotent graded Lie algebra and its cohomology ring. The homotopy transfer induces a homotopy commutative algebra on its cohomology ring which we describe.

Domaines: Physique mathématique [math-ph]

Michel Dubois-Violette, Todor Popov. $C_\infty$-structure on the cohomology of free 2-nilpotent Lie algebra. Publications de l'Institut Mathématique., 2013, 94 (108), pp.99-109. ⟨10.2298/PIM1308099D⟩. ⟨hal-00777930⟩