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arxiv: 1006.1932 · v1 · submitted 2010-06-10 · 🧮 math-ph · math.MP

The Classification of n-Lie Algebras

classification 🧮 math-ph math.MP
keywords algebrasn-liedimensionalclassificationalgebraicallycharacteristicclosedcomplete
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This paper proves the isomorphic criterion theorem for (n+2)-dimensional n-Lie algebras, and gives a complete classification of (n+1)-dimensional n-Lie algebras and (n+2)-dimensional n-Lie algebras over an algebraically closed field of characteristic zero.

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