3-Lie Algebras Realized by Cubic Matrices?

Citation:

Ruipu BAI,Hui LIU,Meng ZHANG.3-Lie Algebras Realized by Cubic Matrices?[J].Chinese Annals of Mathematics B,2014,35(2):261~270
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Authors:

Ruipu BAI; Hui LIU; Meng ZHANG;

Foundation:

National Natural Science Foundation of China (No. 11371245) and the NaturalScience Foundation of Hebei Province (No.A2010000194).
Abstract: Associative multiplications of cubic matrices are provided. The N3-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

Classification:

15B99, 17D99
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