Shuai Hou

activity

20192026

most cited

3

-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on

3

-Lie algebras

12 citations · 36 across the 10 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

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.RA2022

Deformations, cohomologies and abelian extensions of compatible $3$ -Lie algebras

Shuai Hou, Yunhe Sheng

In this paper, first we give the notion of a compatible $3$ -Lie algebra and construct a bidifferential graded Lie algebra whose Maurer-Cartan elements are compatible $3$ -Lie algebr…

math.RA2022★ 12 cited

$3$ -post-Lie algebras and relative Rota-Baxter operators of nonzero weight on $3$ -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 $3$ -Lie algebras and $3$ -post-Lie algebras. A 3-post-Lie algebra consists of a…

Cohomology and the controlling algebra of crossed homomorphisms on 3-Lie algebras

Deformations, cohomologies and abelian extensions of compatible 3-Lie algebras

3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras

Deformations, cohomologies and abelian extensions of compatible $3$ -Lie algebras

$3$ -post-Lie algebras and relative Rota-Baxter operators of nonzero weight on $3$ -Lie algebras