Quasi-triangular, factorizable Leibniz bialgebras and relative Rota–Baxter operators
Quasi-triangular, factorizable Leibniz bialgebras and relative Rota–Baxter operators
We introduce the notion of quasi-triangular Leibniz bialgebras, which can be constructed from solutions of the classical Leibniz Yang-Baxter equation (CLYBE) whose skew-symmetric parts are invariant. In addition to triangular Leibniz bialgebras, quasi-triangular Leibniz bialgebras contain factorizable Leibniz bialgebras as another subclass, which lead to a factorization of the underlying …