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Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 2, pp. 559-591
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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.
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.
DOI : 10.21136/CMJ.2022.0059-21
Classification : 17A32, 17A42, 17B05, 17B56
Keywords: quasi-trace function; 3-Lie algebra; Leibniz algebra 
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Tan, Youjun; Xu, Senrong. Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 2, pp. 559-591. doi: 10.21136/CMJ.2022.0059-21

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