Constructions of Rota-Baxter algebras from idempotent-like elements

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Abstract

In this short note, we construct Rota-Baxter algebras by idempotent-like 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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ArXiv ID:: 1604.07292

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

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Constructions of Rota-Baxter algebras from idempotent-like elements

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Trace Elements and Electrolytes

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