11 citations · 13 across the 2 of their papers we have counts for
16 papers
Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and O-operators
Shuai Hou, Yunhe Sheng, Rong Tang
In this paper, first we introduce the notion of a twilled 3-Lie algebra, and construct an -algebra, whose Maurer-Cartan elements give rise to new twilled 3-Lie algebras b…
Deformations and homotopy theory of relative Rota-Baxter Lie algebras
Andrey Lazarev, Yunhe Sheng, Rong Tang
We determine the \emph{-algebra} that controls deformations of a relative Rota-Baxter Lie algebra and show that it is an extension of the dg Lie algebra controlling defor…
Homotopy relative Rota-Baxter Lie algebras, triangular -bialgebras and higher derived brackets
Andrey Lazarev, Yunhe Sheng, Rong Tang
We describe -algebras governing homotopy relative Rota-Baxter Lie algebras and triangular -bialgebras, and establish a map between them. Our formulas are based…
Deformations of relative Rota-Baxter operators on Leibniz algebras
Rong Tang, Yunhe Sheng, Yanqiu Zhou
In this paper, we introduce the cohomology theory of relative Rota-Baxter operators on Leibniz algebras. We use the cohomological approach to study linear and formal deformations o…
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…
Noncommutative Poisson bialgebras
Jiefeng Liu, Chengming Bai, Yunhe Sheng
In this paper, we introduce the notion of a noncommutative Poisson bialgebra, and establish the equivalence between matched pairs, Manin triples and noncommutative Poisson bialgebr…