从量子拟洗牌代数到辫子Rota-Baxter代数
From quantum quasi-shuffle algebras to braided Rota-Baxter algebras
摘要：
在这封信中，我们使用量子拟洗牌代数来构造Rota-Baxter代数，以及tridendriform代数。我们还提出了辫子Rota-Baxter代数的概念，它是辫子张量范畴中Rota-Baxter代数的相关对象。这种新的代数的例子提供了通过使用量子多支撑代数的一类Yetter-Drinfeld模块。
英文摘要：
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.
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