2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109995Skew-symmetric sum of $N!$ compositions of $N$ vector fields in all possible order is called $N$-commutator. We construct 10-commutator and 13-commutator on a space of vector fields $Vect(3)$ and 10-commutator on a space of divergenceless vector fields $Vect_0(3).$40 pagesMathematical Physics17B66text