Quantum quasi-shuffle algebras II

详细信息    查看全文

• 作者：Run-Qiang Jian ^{jianrq@dgut.edu.cn}
• 关键词：primary ; 16T25 ; secondary ; 17B37
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：472
• 期：Complete
• 页码：480-506
• 全文大小：452 K
• 卷排序：472

文摘

Using the concept of mixable shuffles, we formulate explicitly the quantum quasi-shuffle product, as well as the subalgebra generated by primitive elements of the quantum quasi-shuffle bialgebra. We construct a braided coalgebra which is dual to the quantum quasi-shuffle algebra. We provide representations of quantum quasi-shuffle algebras on commutative braided Rota–Baxter algebras. As an application, we establish formal power series whose terms come from a special representation of the quasi-shuffle algebra on polynomial algebra and whose evaluations at 1 are the multiple q-zeta values.