1College of Science, Nanjing Agriculture University, Nanjing 210095, P. R. China 2College of Mathematics and Information Technology, Xiaozhuang University, Nanjing 211171, P. R. China
Journal of Lie Theory, Tome 20 (2010) no. 4, pp. 767-783
Motivated by recent literature on Hom-Lie algebras and the construction of Lie bialgebras, we investigate the construction of Hom-Lie bialgebras as a generalization of Lie bialgebras. In this paper, we mainly show how to construct (triangular coboundary) Hom-Lie bialgebras both through Hom-Lie algebras and Hom-Lie coalgebras. As examples, we consider the construction of (triangular coboundary) Hom-Lie bialgebras on the three-dimensional Heisenberg algebra, on the split simple Lie algebra sl(2) and on E3, the three-dimensional Euclidean space.
1
College of Science, Nanjing Agriculture University, Nanjing 210095, P. R. China
2
College of Mathematics and Information Technology, Xiaozhuang University, Nanjing 211171, P. R. China
Yuanyuan Chen; Yong Wang; Liangyun Zhang. The Construction of Hom-Lie Bialgebras. Journal of Lie Theory, Tome 20 (2010) no. 4, pp. 767-783. http://geodesic.mathdoc.fr/item/JOLT_2010_20_4_a8/
@article{JOLT_2010_20_4_a8,
author = {Yuanyuan Chen and Yong Wang and Liangyun Zhang},
title = {The {Construction} of {Hom-Lie} {Bialgebras}},
journal = {Journal of Lie Theory},
pages = {767--783},
year = {2010},
volume = {20},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2010_20_4_a8/}
}
TY - JOUR
AU - Yuanyuan Chen
AU - Yong Wang
AU - Liangyun Zhang
TI - The Construction of Hom-Lie Bialgebras
JO - Journal of Lie Theory
PY - 2010
SP - 767
EP - 783
VL - 20
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2010_20_4_a8/
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