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

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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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          Journal
          2016-04-25
          2016-09-15
          Article
          1604.07292

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          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
          math.RA math.QA

          Algebra

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