speaker: Honglei Lang, China Agricultural University, Associate professor

time: 2024.4.10，2:00 PM  

place: Yifu Building 1537

Abstract:

First we introduce the notion of quadratic Rota–Baxter Lie algebras of arbitrary weight, and show that there is a one-to-one correspondence between factorizable Lie bialgebras and quadratic Rota–Baxter Lie algebras of nonzero weight. Then we introduce the notions of matched pairs, bialgebras and Manin triples of Rota–Baxter Lie algebras, and show that Rota–Baxter Lie bialgebras, Manin triples of Rota–Baxter Lie algebras and certain matched pairs of Rota–Baxter Lie algebras are equivalent. Finally, we present some results on Rota-Baxter Poisson Lie Groups. This is joint work in progress with Yunhe Sheng.