Wronskians as n-Lie multiplications

Details Wronskians as n-Lie multiplications Wronskians as n-Lie multiplications

2002-02-05

arxiv.org/abs/math/0202043v1

Mathematics

Rings and Algebras

21 pages, LaTeX

Scientific paper

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 $V^{0,1,...,k}=\der^0\wedge\der^1\wedge...\wedge \der^k$
(Wronskian). We study whether they have (k+1)-Lie, k-left commutative and
homotopical (k+1)-Lie structures.

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