2 papers
math.QA2025
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…
math.RA2025
From pre-Lie bialgebras to phase spaces of Lie algebras: a categorical correspondence
Qi Wang, Xueyi Wang, Jiefeng Liu
This paper establishes a categorical framework for phase spaces of Lie algebras, pre-Lie bialgebras, Manin triples, classical s-matrices, and relative Rota-Baxter operators by intr…