3-Lie algebras realized by cubic matrices

Ruipu Bai , Hui Liu , Meng Zhang

Chinese Annals of Mathematics, Series B ›› 2014, Vol. 35 ›› Issue (2) : 261 -270.

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Chinese Annals of Mathematics, Series B ›› 2014, Vol. 35 ›› Issue (2) : 261 -270. DOI: 10.1007/s11401-014-0823-2
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3-Lie algebras realized by cubic matrices

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Abstract

Associative multiplications of cubic matrices are provided. The N 3-dimensional 3-Lie algebras are realized by cubic matrices, and structures of the 3-Lie algebras are studied.

Keywords

3-Lie algebra / Cubic matrix / Multiplication

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Ruipu Bai, Hui Liu, Meng Zhang. 3-Lie algebras realized by cubic matrices. Chinese Annals of Mathematics, Series B, 2014, 35(2): 261-270 DOI:10.1007/s11401-014-0823-2

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