3 papers
math.RA2025
Quasi-triangular, triangular, factorizable anti-Leibniz bialgebras and anti-Leibniz Yang-Baxter equation
Bo Hou, Zhanpeng Cui
We introduce the notion of an anti-Leibniz bialgebra which is equivalent to a Manin triple of anti-Leibniz algebras, is equivalent to a matched pair of anti-Leibniz algebras. The s…
math.RA2025
Quasi-triangular Novikov bialgebras and related bialgebra structures
Zhanpeng Cui, Bo Hou
We introduce the notion of quasi-triangular Novikov bialgebras, which constructed from solutions of the Novikov Yang-Baxter equation whose symmetric parts are invariant. Triangular…
math.RA2024
Averaging antisymmetric infinitesimal bialgebra and perm bialgebras
Bo Hou, Zhanpeng Cui
We establish a bialgebra theory for averaging algebras, called averaging antisymmetric infinitesimal bialgebras by generalizing the study of antisymmetric infinitesimal bialgebras…