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On Lie 2-bialgebras

On Lie 2-bialgebras
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摘要 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 Lie2-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. 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 Lie2-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.
作者 Qiao Yu Zhao Jia
出处 《Communications in Mathematical Research》 CSCD 2018年第1期54-64,共11页 数学研究通讯(英文版)
基金 The NSF(11301317,11571211) of China
关键词 big bracket Lie 2-algebra Lie 2-coalgebra Lie 2-bialgebra big bracket Lie 2-algebra Lie 2-coalgebra Lie 2-bialgebra
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