TY - JOUR
T1 - On Lie 2-Dialgebras
AU - Qiao , Yu
AU - Zhao , Jia
JO - Communications in Mathematical Research 
VL - 1
SP - 54
EP - 64
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.01.06
UR - https://global-sci.org/intro/article_detail/cmr/13504.html
KW - big bracket, Lie 2-algebra, Lie 2-coalgebra, Lie 2-bialgebra
AB - <p style="text-align: justify;">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.</p>