39 citations · 162 across the 33 of their papers we have counts for
4 papers · 1 filter
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras
Jifeng Liu, Yunhe Sheng, Chengming Bai
In this paper, we give Maurer-Cartan characterizations as well as a cohomology theory for compatible Lie algebras. Explicitly, we first introduce the notion of a bidifferential gra…
Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation
Yuwang Hu, Jiefeng Liu, Yunhe Sheng
In this paper, first we study infinitesimal deformations of a Lie algebra with a representation and introduce the notion of a Nijenhuis pair, which gives a trivial deformation of a…
Left-symmetric bialgebroids and their corresponding Manin triples
Jiefeng Liu, Yunhe Sheng, Chengming Bai
In this paper, we introduce the notion of a left-symmetric bialgebroid as a geometric generalization of a left-symmetric bialgebra and construct a left-symmetric bialgebroid from a…
Nijenhuis operators on -Lie algebras
Jiefeng Liu, Yunhe Sheng, Yanqiu Zhou +1
In this paper, we study -order deformations of an -Lie algebra and introduce the notion of a Nijenhuis operator on an -Lie algebra, which could give rise to trivial de…