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Keywords:
quasi-trace function; 3-Lie algebra; Leibniz algebra
quasi-trace function; 3-Lie algebra; Leibniz algebra
Summary:
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.
References:
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