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math.RA2002
N-commutators on vector fields
A. S. Dzhumadil'daev
An alternating sum of compositions of N vector fields is called N-commutator. In general N-commutator of N vector fields is no longer a vector field. Question: is it possible to fi…
math.RA2002
Wronskians as n-Lie multiplications
A. S. Dzhumadil'daev
Filipov proved that Jacobian algebra is n-Lie. In our paper we consider algebras defined on associative commutative algebra U with derivation $\der$ by (k+1)-multiplication $V^{0,1…
math.RA2002
Identities and derivations for Jacobian algebras
A. S. Dzhumadil'daev
Constructions of n-Lie algebras by strong n-Lie-Poisson algebras are given. First cohomology groups of adjoint module of Jacobian algebras are calculated. Minimal identities of 3-J…