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Quantum Quasi-Shuffle Algebras

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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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Authors and Affiliations

  1. School of Computer Science, Dongguan University of Technology, 1 Daxue Road, Songshan Lake, 523808, Dongguan, People’s Republic of China

    Run-Qiang Jian

  2. Institut de Mathématiques de Jussieu, Université Paris Diderot (Paris 7), 175 rue du Chevaleret, 75013, Paris, France

    Run-Qiang Jian, Marc Rosso & Jiao Zhang

  3. Department of Mathematics, Sun Yat-sen University, 135 Xingang Xi Road, 510275, Guangzhou, People’s Republic of China

    Run-Qiang Jian

  4. Department of Mathematics, East China Normal University, 500 Dongchuan Road, Minhang District, 200241, Shanghai, People’s Republic of China

    Jiao Zhang

Authors
  1. Run-Qiang Jian
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  2. Marc Rosso
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  3. Jiao Zhang
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Correspondence to Jiao Zhang.

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Jian, RQ., Rosso, M. & Zhang, J. Quantum Quasi-Shuffle Algebras. Lett Math Phys 92, 1–16 (2010). https://doi.org/10.1007/s11005-010-0382-8

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  • DOI: https://doi.org/10.1007/s11005-010-0382-8

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