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Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras

Youjun Tan, Senrong Xu (2022)

Czechoslovak Mathematical Journal

We introduce the notion of quasi-trace functions on Lie algebras. As applications we study realizations of 3-dimensional and 4-dimensional 3-Lie algebras. Some comparison results on cohomologies of 3-Lie algebras and Leibniz algebras arising from quasi-trace functions are obtained.

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