This article concerns a class of finite-dimensional minimal non-nilpotent 2-solvable n-Lie algebras. It is shown that if L is a finite-dimensional minimal non-nilpotent 2-solvable n-Lie algebra, then L can be decomposed into a semi-direct of an ideal A and an (n â 1)-dimensional subalgebra H 0 of L. Furthermore, H 0 acts irreducibly on A/A 1, and H 0 + A 1 is a self-normalizing maximal subalgebra of L with the core A 1, the derived algebra of A.
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机译：本文涉及一类有限维最小非幂零2-可解n-Lie代数。结果表明，如果L是有限维的最小非零幂可解n-Lie代数，则L可以分解为理想A和（n 1）维次代数H的半直接L的 0 。此外，H 0 不可避免地作用于A / A 1 ，而H 0 + A < sup> 1 是L的自正规化最大子代数，其核心为A 1 ，它是A的衍生代数。
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