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Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements
Published 25 Apr 2016 in math.RA and math.QA | (1604.07292v3)
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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