A characterization of finite dimensional nilpotent Filippov algebras

作者：Darabi H; Saeedi F^*; Eshrati M

来源：Journal of Geometry and Physics, 2016, 101: 100-107.

DOI：10.1016/j.geomphys.2015.12.007

• n-Lie algebra
• Multiplier
• Nilpotent

Let A be a nilpotent Filippov (n-Lie) algebra of dimension d and put s(A) = ((d-1)(n)) + n -1 - dim M(A) and t(A) = ((d)(n)) - 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) = 0, 1 or 2, and apply it in order to determine all nilpotent n-Lie algebras A satisfying 0 <= t(A) <= 8.

• 出版日期2016-3