$3$-$Li{e}_{\infty }$-algebras and $3$-Lie 2-algebras

Yanqiu Zhou, Yumeng Li, Yunhe Sheng

In this paper, we introduce the notions of a $3$-$Li{e}_{\infty }$-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…