10-commutator and 13-commutator

Physics – Mathematical Physics

Scientific paper

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40 pages

Scientific paper

Skew-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 $Vect_0(3).$

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