English

Quantum Quasi-Shuffle Algebras

Quantum Algebra 2015-05-13 v2

Abstract

We establish some properties of quantum quasi-shuffle algebras. They include the necessary and sufficient condition for the construction of the quantum quasi-shuffle product, the universal property, and the commutativity condition. As an application, we use the quantum quasi-shuffle product to construct a linear basis of T(V)T(V), for a special kind of Yang-Baxter algebras (V,m,σ)(V,m,\sigma).

Keywords

Cite

@article{arxiv.0908.0083,
  title  = {Quantum Quasi-Shuffle Algebras},
  author = {Run-Qiang Jian and Marc Rosso and Jiao Zhang},
  journal= {arXiv preprint arXiv:0908.0083},
  year   = {2015}
}

Comments

12 pages;title is changed;abstract and introduction are extended;Section 2 is rewritten;accepted for publication in Lett. Math. Phys

R2 v1 2026-06-21T13:31:32.880Z