Wronskians as n-Lie multiplications
Abstract
Filipov proved that Jacobian algebra is n-Lie. In our paper we consider algebras defined on associative commutative algebra U with derivation by (k+1)-multiplication V0,1,...,k=01... k (Wronskian). We study whether they have (k+1)-Lie, k-left commutative and homotopical (k+1)-Lie structures.
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