Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements
arXiv:1604.07292 · doi:10.1007/s11005-016-0905-z
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.
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