41 citations · 252 across the 36 of their papers we have counts for
5 papers · 1 filter
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…
The controlling -algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples
Yunhe Sheng, Rong Tang, Chenchang Zhu
In this paper, we first construct the controlling algebras of embedding tensors and Lie-Leibniz triples, which turn out to be a graded Lie algebra and an -algebra respect…
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…