DERIVATIONS OF THE 3-LIE ALGEBRA REALIZED BY gl(n, C)

作者:Bai Ruipu*; Wang Jinxiu; Li Zhenheng
来源:Journal of Nonlinear Mathematical Physics, 2011, 18(1): 151-160.
DOI:10.1142/S1402925111001222

摘要

This paper studies structures of the 3-Lie algebra M realized by the general linear Lie algebra gl(n, C). We show that M has only one nonzero proper ideal. We then give explicit expressions of both derivations and inner derivations of M. Finally, we investigate substructures of the (inner) derivation algebra of M.

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