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Commun. Math. Res., 34 (2018), pp. 54-64.
Published online: 2019-12
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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.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.01.06}, url = {http://global-sci.org/intro/article_detail/cmr/13504.html} }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.