## The classification of six-dimensional 4-Lie algebras.(English)Zbl 1157.17002

The authors give a classification of 6-dimensional 4-Lie algebras (Filippov algebras) over an algebraically closed field of characteristic 0.

### MSC:

 17A42 Other $$n$$-ary compositions $$(n \ge 3)$$ 17D99 Other nonassociative rings and algebras

### Keywords:

Filippov algebra; $$n$$-Lie algebra
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