Solvable 3-Lie Algebras with a Maximal Hypo-Nilpotent Ideal N

摘要

1. IntroductionIn 1985, Filippov [7] introduced the concept of n-Lie algebras. The n=3 case, I.e. 3-ary multilinear operation, first appeared in Nambu's work [1] in the description of simultaneous classical dynamics of three particles.