11 citations · 13 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
Deformations and their controlling cohomologies of -operators
Rong Tang, Chengming Bai, Li Guo +1
-operators are important in broad areas in mathematics and physics, such as integrable systems, the classical Yang-Baxter equation, pre-Lie algebras and splitting of o…