In this talk I discuss higher Whitehead products, invariants in unstable homotopy theory, which are considered in the context of the studying of moment-angle complexes.

It is known that rational homotopy groups of loop space form the homotopy Lie algebra in which the Jacobi identity holds. There is a structure of L-infinity algebra, the generalization of Lie algebra for which we have n-ary brackets that satisfy the generalized Jacobi identities.

In this talk I represent the connection between higher Whitehead products and L-infinity structures on homotopy Lie algebra in the case of moment-angle complexes.