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arXiv · 1604.07292

Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements

Run-Qiang Jian
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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.

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BibTeXRIS

Run-Qiang Jian. 2016-09-15. Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements. https://doi.org/10.1007/s11005-016-0905-z

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