3-Lie Bialgebras
Abstract
3-Lie algebras have close relationships with many important fields in mathematics and mathematical physics. The paper 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 3-dimensional 3-Lie coalgebras and 3-Lie bialgebras over an algebraically closed field of characteristic zero are provided.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2012
- DOI:
- arXiv:
- arXiv:1208.1066
- Bibcode:
- 2012arXiv1208.1066B
- Keywords:
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- Mathematical Physics;
- 17B05;
- 17D99
- E-Print:
- 3-Lie algebra