Power-associative Lie-admissible algebras
An algebra A is third-power-associative if its multiplication, *, satisfies the identity \(x*(x*x)=(x*x)*x.\) This paper presents a determination of all finite-dimensional, third-power-associative, Lie- admissible algebras A over a field of characteristic zero in the case that \(A^-\) is a semisimple Lie algebra.
scientific article; zbMATH DE number 3861401
scientific article