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Zbl 1157.17002
Bai, Ruipu; Song, Guojie
The classification of six-dimensional 4-Lie algebras.
(English)
[J] J. Phys. A, Math. Theor. 42, No. 3, Article ID 035207, 17 p. (2009). ISSN 1751-8113; ISSN 1751-8121/e

The authors give a classification of 6-dimensional 4-Lie algebras (Filippov algebras) over an algebraically closed field of characteristic 0.
[Alexandre P. Pojidaev (São Paulo)]
MSC 2000:
*17A42 Other n-ary compositions
17D99 Other nonassociative rings and algebras

Keywords: Filippov algebra; $n$-Lie algebra

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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