2 papers
math.RA2026
Factorizable Lie conformal bialgebras, quadratic Rota-Baxter Lie conformal algebras and some induced structures
Zhongyin Xu, Chengming Bai, Yanyong Hong
We introduce the notion of factorizable Lie conformal bialgebras and establish their correspondence with quadratic Rota-Baxter Lie conformal algebras of nonzero weight. Consequentl…
math.RA2026
Controlling graded Lie algebras and cohomologies of double Lie algebras
Zhongyin Xu, Chengming Bai
We construct a graded Lie algebra structure on the space of cyclically skew-symmetric cochains whose Maurer-Cartan elements characterize double Lie algebra structures. Twisting by…