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arXiv · 1105.4347

Explicit results concerning quantum quasi-shuffle algebras and their applications

Run-Qiang Jian
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Abstract

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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Run-Qiang Jian. 2011-05-22. Explicit results concerning quantum quasi-shuffle algebras and their applications. https://arxiv.org/abs/1105.4347

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