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arXiv · 0908.0083

Quantum Quasi-Shuffle Algebras

Run-Qiang Jian·Marc Rosso·Jiao Zhang
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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 $T(V)$, for a special kind of Yang-Baxter algebras $(V,m,σ)$.

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Run-Qiang Jian, Marc Rosso, Jiao Zhang. 2010-02-26. Quantum Quasi-Shuffle Algebras. https://doi.org/10.1007/s11005-010-0382-8

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