Pre-Lie 2-bialgebras and 2-grade classical Yang-Baxter equations

Jiefeng Liu, Tongtong Yue, Qi Wang

We introduce a notion of a para-Kähler strict Lie 2-algebra, which can be viewed as a categorification of a para-Kähler Lie algebra. In order to study para-Kähler strict Lie 2-a…