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From quantum quasi-shuffle algebras to braided Rota-Baxter algebras (1302.4289v1)
Published 18 Feb 2013 in math.QA and math.RA
Abstract: In this letter, we use quantum quasi-shuffle algebras to construct Rota-Baxter algebras, as well as tridendriform algebras. We also propose the notion of braided Rota-Baxter algebras, which is the relevant object of Rota-Baxter algebras in a braided tensor category. Examples of such new algebras are provided by using quantum multi-brace algebras in a category of Yetter-Drinfeld modules.