On the Center of Two-parameter Quantum Groups $U_{r,s}(\mathfrak{so}_{2n+1})$

Autor: Hu, Naihong, Shi, Yuxing
Rok vydání: 2014
Předmět:
Zdroj: J. Geom. Phys. 86 (2014), 422---433
Druh dokumentu: Working Paper
DOI: 10.1016/j.geomphys.2014.09.010
Popis: The paper mainly considers the center of two-parameter quantum groups $U_{r,s}(\mathfrak{so}_{2n+1})$ via an analogue of the Harish-Chandra homomorphism. In the case when $n$ is odd, the Harish-Chandra homomorphism is not injective in general. When $n$ is even, the Harish-Chandra homomorphism is injective and the center of two-parameter quantum groups $U_{r,s}{(\mathfrak{so}_{2n+1})}$ is described, up to isomorphism.
Comment: 15 pages
Databáze: arXiv