On Lie 2-Dialgebras

Authors

  • Yu Qiao School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119
  • Jia Zhao School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119

DOI:

https://doi.org/10.13447/j.1674-5647.2018.01.06

Keywords:

big bracket, Lie 2-algebra, Lie 2-coalgebra, Lie 2-bialgebra

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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Published

2020-03-18

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Issue

Vol. 34 No. 1 (2018)

Section

Articles

How to Cite

On Lie 2-Dialgebras. (2020). Communications in Mathematical Research, 34(1), 54-64. https://doi.org/10.13447/j.1674-5647.2018.01.06