Explicit results concerning quantum quasi-shuffle algebras and their applications

Details Explicit results concerning quantum quasi-shuffle algebras and their applications Explicit results concerning quantum quasi-shuffle algebras and their applications

2011-05-22

arxiv.org/abs/1105.4347v2

Mathematics

Quantum Algebra

19 pages. The title is changed and the Ref. [12] is updated

Scientific paper

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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