Abstract
The universal R matrix of the two-parameterdeformed quantum group Uqs(SU(1, 1)) isderived. In previous work we suggested a method toderive the universal R matrix of the two-parameterdeformed quantum group Uqs(SU(2)). This method isdifferent from that of the quantum double; it is simpleand efficient for quantum groups of low rank at least.This paper studies the universal R matrix of thetwo-parameter deformed quantum group Uqs(SU(1, 1))using the same approach.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Baxter, R. J. (1972). Ann. Phys. 70, 193.
Jing, S. C., and Cupyers, F. (1993). Commun. Theor. Phys. 19, 495.
Yang, C. N. (1967). Phys. Rev. Lett. 19, 1312.
Yu, Z. X., and Liu, Y. H. (1998). Universal R matrix of two-parameter deformed quantum group U qs(SU(2)), Int. J. Theor. Phys., this issue.
Yu, Z. X., Yu. G., Zhang, D. X., and Liu, Y. H. (1996). High Energy Phys. Nucl. Phys., 21, 999 [in Chinese].
Yu, Z. X., Zhang, D. X., and Yu. G. (1997a). Commun. Theor. Phys. 27, 179.
Yu, G. Zhang, D. X., and Yu, Z. X. (1997b). Commun. Theor. Phys. 28, 57.
Rights and permissions
About this article
Cite this article
Yu, ZX., Liu, YH. Universal R Matrix of Two-Parameter Deformed Quantum Group Uqs(SU(1, 1)). International Journal of Theoretical Physics 37, 2985–2988 (1998). https://doi.org/10.1023/A:1026639914469
Issue Date:
DOI: https://doi.org/10.1023/A:1026639914469