Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras

2023/04/05 by Yunhe Sheng, You Wang · 5 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons

paper · doi:10.1016/j.jalgebra.2023.03.031

Citations

• On the Associative Analog of Lie Bialgebras
• Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem
• Representations of polynomial Rota–Baxter algebras
• Factorizable Lie Bialgebras, Quadratic Rota–Baxter Lie Algebras and Rota–Baxter Lie Bialgebras

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• Affinization of dendriform D-bialgebras, Lie bialgebras and solutions of the classical Yang-Baxter equation
• Leibniz-dendriform bialgebras and relative Rota-Baxter operators
• Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
• A further study on averaging commutative and cocommutative infinitesimal bialgebras and special apre-perm bialgebras
• Anti-pre-Poisson bialgebras and relative Rota-Baxter operators