From quantum quasi-shuffle algebras to braided Rota-Baxter algebras
Quantum Algebra
2015-06-15 v1 Rings and Algebras
Abstract
In this letter, we use quantum quasi-shuffle algebras to construct Rota-Baxter algebras, as well as tridendriform algebras. We also propose the notion of braided Rota-Baxter algebras, which is the relevant object of Rota-Baxter algebras in a braided tensor category. Examples of such new algebras are provided by using quantum multi-brace algebras in a category of Yetter-Drinfeld modules.
Keywords
Cite
@article{arxiv.1302.4289,
title = {From quantum quasi-shuffle algebras to braided Rota-Baxter algebras},
author = {Run-Qiang Jian},
journal= {arXiv preprint arXiv:1302.4289},
year = {2015}
}
Comments
12 pages, it is an extension of Section 5 of the paper arXiv:1105.4347; accepted for publication in Letters in Mathematical Physics