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arXiv · 2507.01650

Quasi-triangular, factorizable anti-dendriform bialgebras and relative Rota-Baxter operators

Qinxiu Sun·Min Wu
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Abstract

We introduce the notion of quasi-triangular anti-dendriform bialgebras, which can be induced by the solutions of the AD-YBE whose symmetric parts are invariant. A factorizable anti-dendriform bialgebra leads to a factorization of the underlying anti-dendriform algebra. Moreover, relative Rota-Baxter operators with weights are introduced to characterize the solutions of the AD-YBE whose symmetric parts are invariant. Finally, we interpret factorizable anti-dendriform bialgebras in terms of quadratic Rota-Baxter anti-dendriform algebras.

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Qinxiu Sun, Min Wu. 2025-07-02. Quasi-triangular, factorizable anti-dendriform bialgebras and relative Rota-Baxter operators. https://arxiv.org/abs/2507.01650

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