3-Lie Bialgebras
Mathematical Physics
2012-08-13 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1208.1066,
title = {3-Lie Bialgebras},
author = {Ruipu Bai and Jiaqian Li and Wei Meng},
journal= {arXiv preprint arXiv:1208.1066},
year = {2012}
}
Comments
3-Lie algebra; 3-Lie coalgebra; 3-Lie bialgebra