A Characterization of Finite Dimensional Nilpotent Filippov Algebras s(A) = 4, 5.

Let A be a nilpotent Filippov (n-Lie) algebra of dimension d and put s(A) = (d−1n) + n − 1 − dim M (A), where M(A) denotes the multiplier of A. The aim of this paper is to classify all nilpotent n-Lie algebras A for which s(A) = 4 or 5. [ABSTRACT FROM AUTHOR]