2009/08/31 by Run-Qiang Jian, Marc Rosso, Jiao Zhang · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Algebraic structures and combinatorial models #Basis (linear algebra) #Commutative property #Computer science #Construct (python library) #Discrete mathematics #Geometry #Mathematics #Philosophy #Physics #Product (mathematics) #Property (philosophy) #Pure mathematics #Quantum #Quantum mechanics #Sigma #math.QA
paper · pdf · doi:10.1007/s11005-010-0382-8
published as Lett. Math. Phys. 92 (2010), pp. 1-16 · 12 pages;title is changed;abstract and introduction are extended;Section 2 is rewritten;accepted for publication in Lett. Math. Phys
arxiv created 2010/02/26 · openalex publication_date 2010/03/12 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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).