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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…
math.QA2026
Poisson bialgebras by deformations-to-quasiclassical limits
Siyuan Chen, Chengming Bai
Poisson algebras are the quasiclassical limits of associative algebra deformations of commutative associative algebras. This paper extends this process to the level of bialgebras.…