量子拟洗牌代数的显式结果及其应用
Explicit results concerning quantum quasi-shuffle algebras and their applications
摘要：
利用混洗的概念，我们明确地制定了量子准混洗产品。我们还对量子拟混洗双代数的本原元集合所生成的子代数给出了一个理想的描述。构造了一个辫子余代数结构，它在某种意义上与量子拟洗牌对偶。我们使用量子拟洗牌代数的Rota-Baxter代数和tridendriform代数提供的例子。
英文摘要：
Using the concept of mixable shuffles, we formulate explicitly the quantum quasi-shuffle product. We also provide a desirable description of the subalgebra generated by the set of primitive elements of the quantum quasi-shuffle bialgebra. A braided coalgebra structure which is dual to the quantum quasi-shuffle in some sense is constructed as well. We use quantum quasi-shuffle algebras to provide examples of Rota-Baxter algebras and tridendriform algebras.
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