28 citations · 67 across the 4 of their papers we have counts for
4 papers
Dirac generating operators of split Courant algebroids
Liqiang Cai, Zhuo Chen, Honglei Lang +1
Given a vector bundle over a smooth manifold such that the square root of the line bundle …
Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids
Liqiang Cai, Jiefeng Liu, Yunhe Sheng
In this paper, first we modify the definition of a Hom-Lie algebroid introduced by Laurent-Gengoux and Teles and give its equivalent dual description. Many results that parallel to…
Purely Hom-Lie bialgebras
Liqiang Cai, Yunhe Sheng
In this paper, first we show that there is a Hom-Lie algebra structure on the set of -derivations of a commutative algebra. Then we construct dual representations of a repre…
Hom-Big Brackets: Theory and Applications
Liqiang Cai, Yunhe Sheng
In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann-Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra.…