Year: 2018
Communications in Mathematical Research , Vol. 34 (2018), Iss. 1 : pp. 54–64
Abstract
A Lie 2-bialgebra is a Lie 2-algebra equipped with a compatible Lie 2- coalgebra structure. In this paper, we give another equivalent description for Lie 2-bialgebras by using the structure maps and compatibility conditions. We can use this method to check whether a 2-term direct sum of vector spaces is a Lie 2-bialgebra easily.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.01.06
Communications in Mathematical Research , Vol. 34 (2018), Iss. 1 : pp. 54–64
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: big bracket Lie 2-algebra Lie 2-coalgebra Lie 2-bialgebra