Wronskians as n-Lie multiplications
A. S. Dzhumadil'daev
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.
Create a lesson
Related papers
Rota-Baxter operators and factorization of Lie affgebras
JiaJia Han, Abror Khudoyberdiyev, Yunzhou Xie et al.
Diagonalization of skew-Hermitian dual quaternion matrices and ϕ-Hermitian dual quaternion matrices
Cailing Yao, Bingzhe Hou
The E6 normal forms: semisimple deformations, geometry, DT invariants, and the E6,∞ order
Shengyong Pan
A 9-dimensional nilpotent Lie algebra isomorphic to its complex conjugate admitting no real form
Tom De Medts
Projective Differential Moment Invariants from the Viewpoint of Classical Invariant Theory
Leonid Bedratyuk
Global obstruction property and its applications
Weiheng Xia