Title: Post-Lie Conformal Algebras and Rota–Baxter Operators
Speaker: Yuhui TAN（Harbin Institute of Technology）
Time: Friday, April 24, 2026, 15:30-16:30
Venue：Gewu Building, Room 315
Abstract:Lie conformal algebras play a fundamental role in the study of vertex algebras and conformal field theory. To enrich their structure theory, we introduce post-Lie conformal algebras (PLCAs), which equip a Lie conformal algebra with an additional product inspired by post-Lie algebras. We establish an equivalence between PLCA structures and Rota–Baxter operators of weight 1 on Lie conformal algebras. We also show that every PLCA induces a new Lie conformal algebra and study PLCA structures on pairs of Lie conformal algebras. Finally, we classify all PLCA structures on two classes of Lie conformal algebras: B(q) and W (b), achieved through Rota–Baxter operators of weight 1.
