Explicit results concerning quantum quasi-shuffle algebras and their applications
Quantum Algebra
2011-12-06 v2
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.
Keywords
Cite
@article{arxiv.1105.4347,
title = {Explicit results concerning quantum quasi-shuffle algebras and their applications},
author = {Run-Qiang Jian},
journal= {arXiv preprint arXiv:1105.4347},
year = {2011}
}
Comments
19 pages. The title is changed and the Ref. [12] is updated