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3-Lie bialgebras |
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| Authors: | Ruipu BAI Yu CHENG Jiaqian LIE Wei MENG |
| Affiliation: | 1. College of Mathematics and Computer Science, Hebei University, Baoding 071002, China;2. Department of Mathematics, Baoding University, Baoding 071002, China;3. College of Mathematics and Computer Science, Hebei University, Baoding 071002, China;4. College of Mathematics and Computer Science, Hebei University, Baoding 071002, China |
| Abstract: | 3-Lie algebras have close relationships with many important fields in mathematics and mathematical physics. This article concerns 3-Lie algebras. The concepts of 3-Lie coalgebras and 3-Lie bialgebras are given. The structures of such categories of algebras and the relationships with 3-Lie algebras are studied. And the classification of 4-dimensional 3-Lie coalgebras and 3-dimensional 3-Lie bialgebras over an algebraically closed field of characteristic zero are provided. |
| Keywords: | 3-Lie algebra 3-Lie coalgebra 3-Lie bialgebra |
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