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

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• 作者：Run-Qiang Jian
• 关键词：Rota–Baxter algebra ; Hopf algebra ; Quasi ; idempotent element
• 刊名：Letters in Mathematical Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：107
• 期：2
• 页码：367-374
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Complex Systems; Geometry; Group Theory and Generalizations;
• 出版者：Springer Netherlands
• ISSN：1573-0530
• 卷排序：107

文摘

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.