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Quantum Quasi-Shuffle Algebras
Published 1 Aug 2009 in math.QA | (0908.0083v2)
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 $(V,m,\sigma)$.
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