Module algebra structures of nonstandard quantum group X_q(A₁) on \C_q[x,y,z]

2025/04/28 by Dong Su, Su, Dong
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2504.19415

openalex publication_date 2025/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, the module algebra structures of X_q(A₁) on quantum polynomial algebra \C_q[x,y,z] are investigated, and a complete classification of X_q(A₁)-module algebra structures on \C_q[x,y,z] is given

Citations

• Quantum Divided Power Algebra, q-Derivatives and Some New Quantum Groups
• Quantum Divided Power Algebra, Q-Derivatives, and Some New Quantum Groups
• Actions of Multiplier Hopf Algebras
• Quantum Groups

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