6 citations · 9 across the 3 of their papers we have counts for
3 papers
math.QA2023★ 1 cited
Relative Poisson bialgebras and Frobenius Jacobi algebras
Guilai Liu, Chengming Bai
Jacobi algebras, as the algebraic counterparts of Jacobi manifolds, are exactly the unital relative Poisson algebras. The direct approach of constructing Frobenius Jacobi algebras…
math.RA2022★ 6 cited
Anti-dendriform algebras, new splitting of operations and Novikov type algebras
Dongfang Gao, Guilai Liu, Chengming Bai
We introduce the notion of anti-dendriform algebras as a new approach of splitting the associativity. They are characterized as the algebras with two operations whose sum is associ…
math.QA2022★ 2 cited
Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras
Chengming Bai, Li Guo, Guilai Liu +1
We establish a bialgebra structure on Rota-Baxter Lie algebras following the Manin triple approach to Lie bialgebras. Explicitly, Rota-Baxter Lie bialgebras are characterized by ge…