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 $L_{\infty }$-algebra, whose Maurer-Cartan elements give rise to new twilled 3-Lie algebras b…