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arXiv · 1901.02869

Free modified Rota-Baxter algebras and Hopf algebras

Xigou Zhang·Xing Gao·Li Guo
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Abstract

The notion of a modified Rota-Baxter algebra comes from the combination of those of a Rota-Baxter algebra and a modified Yang-Baxter equation. In this paper, we first construct free modified Rota-Baxter algebras. We then equip a free modified Rota-Baxter algebra with a bialgebra structure by a cocycle construction. Under the assumption that the generating algebra is a connected bialgebra, we further equip the free modified Rota-Baxter algebra with a Hopf algebra structure.

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Xigou Zhang, Xing Gao, Li Guo. 2019-01-09. Free modified Rota-Baxter algebras and Hopf algebras. https://doi.org/10.24330/ieja.504101

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