Free modified Rota-Baxter algebras and Hopf algebras
Rings and Algebras
2019-01-10 v1 Quantum Algebra
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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Cite
@article{arxiv.1901.02869,
title = {Free modified Rota-Baxter algebras and Hopf algebras},
author = {Xigou Zhang and Xing Gao and Li Guo},
journal= {arXiv preprint arXiv:1901.02869},
year = {2019}
}
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18 pages