On the center of two-parameter (v,t)-quantum groups

2024/12/25 by Zhaobing Fan, Fan, Zhaobing, Xin, Ziqi
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2412.18970

Abstract

This paper mainly considers the center of two-parameter quantum group U_v,t of finite type via an analogue of the Harish-Chandra homomorphism. Through combining the connection between one-parameter quantum group case and two-parameter quantum group case, we get the description of center in the sense of Harish-Chandra homomorphism.

Related

• Centers of Generalized Quantum Groups
• Harish-Chandra Theorem for the Multi-Parameter Quantum Groups of Okado-Yamane Type
• Derivations of the Positive Part of the Two-parameter Quantum Group of type G₂
• Two-parameter Quantum group coming from two-parameter deformed Virasoro Algebra of Hom-type
• Explicit generators of the centre of the quantum group