1202.2230 (Michel Dubois-Violette et al.)

Young tableaux and homotopy commutative algebras    [PDF]

Michel Dubois-Violette, Todor Popov

A homotopy commutative algebra, or $C_{\infty}$-algebra, is defined via the
Tornike Kadeishvili homotopy transfer theorem on the vector space generated by
the set of Young tableaux with self-conjugated Young diagrams. We prove that
this $C_{\infty}$-algebra is generated in degree 1 by the binary and the
ternary operations.

View original: http://arxiv.org/abs/1202.2230