4 papers
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…
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…
Manin triples of 3-Lie algebras induced by involutive derivations
Shuai Hou, Ruipu Bai
For any -dimensional 3-Lie algebra over a field of characteristic zero with an involutive derivation , we investigate the structure of the 3-Lie algebra $B_1=A\ltimes_{ad…
3-Lie bialgebras and 3-pre-Lie algebras induced by involutive derivations
Ruipu Bai, Shuai Hou, Chuangchuang Kang
In this paper, we study the structure of 3-Lie algebras with involutive derivations. We prove that if is an -dimensional 3-Lie algebra with an involutive derivation , the…