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Structure of 3-Lie algebra J 27

By Bai Ruipu, Guo Weiwei and Lin Lixin

Abstract

In this paper, the 3-Lie algebra J27 is constructed by 2-cubic matrices over a field F with chF = 0, and the structure of it is studied. It is proved that the 3-Lie algebra J27 is solvable but non-nilpotent 3-Lie algebra with two dimensional center, and the concrete expression of all derivations and inner derivations is given

Topics: 2-cubic matrix, 3-Lie algebra, derivation., Mathematics, QA1-939
Publisher: Hilaris
Year: 2016
OAI identifier: oai:doaj.org/article:bf85993507c14c6c8635dbff493680d7
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