10-commutator and 13-commutator

2006/03/22 by Askar Dzhumadil’daev, A. S. Dzhumadil'daev, Dzhumadil'daev, A. S. · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #Chemical Synthesis and Analysis #Neuroendocrine Tumor Research Advances #Radiopharmaceutical Chemistry and Applications #math-ph #math.MP #msc:17B66

paper · pdf · doi:10.48550/arxiv.math-ph/0603054

40 pages

arxiv created 2006/03/22 · arxiv updated 2009/12/01

Abstract

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 Vect₀(3).

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