most citedAnti-dendriform algebras, new splitting of operations and Novikov type algebras

6 citations · 9 across the 3 of their papers we have counts for

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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.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…