Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements
Rings and Algebras
2017-01-25 v3 Quantum Algebra
Abstract
In this short note, we construct quasi-idempotent Rota-Baxter operators by quasi-idempotent elements and show that every finite dimensional Hopf algebra admits nontrivial Rota-Baxter algebra structures and tridendriform algebra structures. Several concrete examples are provided, including finite quantum groups and Iwahori-Hecke algebras.
Keywords
Cite
@article{arxiv.1604.07292,
title = {Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements},
author = {Run-Qiang Jian},
journal= {arXiv preprint arXiv:1604.07292},
year = {2017}
}
Comments
8 pages; examples related to Iwahori-Hecke algebras are added; title is changed according to the referee's comment; the revised version for the publication in Letters in Mathematical Physics