39 citations · 80 across the 7 of their papers we have counts for
7 papers
Deformations and cohomologies of embedding tensors on 3-Lie algebras
Meiyan Hu, Shuai Hou, Lina Song +1
In this paper, first we introduce the notion of an embedding tensor on a 3-Lie algebra, which naturally induces a 3-Leibniz algebra. Using the derived bracket, we construct a Lie 3…
Cohomology and the controlling algebra of crossed homomorphisms on 3-Lie algebras
Shuai Hou, Meiyan Hu, Lina Song +1
In this paper, first we give the notion of a crossed homomorphism on a 3-Lie algebra with respect to an action on another 3-Lie algebra, and characterize it using a homomorphism fr…
Deformations, cohomologies and abelian extensions of compatible -Lie algebras
Shuai Hou, Yunhe Sheng
In this paper, first we give the notion of a compatible -Lie algebra and construct a bidifferential graded Lie algebra whose Maurer-Cartan elements are compatible -Lie algebr…
-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on -Lie algebras
Shuai Hou, Yunhe Sheng, Yanqiu Zhou
In this paper, first we introduce the notions of relative Rota-Baxter operators of nonzero weight on -Lie algebras and -post-Lie algebras. A 3-post-Lie algebra consists of a…
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…
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…
--algebras and -Lie 2-algebras
Yanqiu Zhou, Yumeng Li, Yunhe Sheng
In this paper, we introduce the notions of a --algebra and a 3-Lie 2-algebra. The former is a model for a 3-Lie algebra that satisfy the fundamental identity up to a…