3 papers
math.RA2023
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…
math.RA2022
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…
math.RA2020
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…