Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements. (English) Zbl 1361.16027
Summary: 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.
MSC:
| 16T25 | Yang-Baxter equations |
| 16U99 | Conditions on elements |
| 16T05 | Hopf algebras and their applications |
References:
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