Duality for the Jordanian matrix quantum group GL(g,h)(2)

被引:16
|
作者
Aneva, BL [1 ]
Dobrev, VK [1 ]
Mihov, SG [1 ]
机构
[1] INT CTR THEORET PHYS,I-34100 TRIESTE,ITALY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 19期
关键词
D O I
10.1088/0305-4470/30/19/016
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We find the Hopf algebra U-g,U-h dual to the Jordanian matrix quantum group GL(g,h)(2). As an algebra it depends only on the sum of the two parameters and is split into two subalgebras:U-g,U-h' (with three generators) and U(Z) (with one generator). The subalgebra U(Z) is a central Hopf subalgebra of U-g,U-h. The subalgebra U-g,U-h' is not a Hopf subalgebra and its co-algebra structure depends on both parameters. We discuss also two one-parameter special cases: g = h and g = -h. The subalgebra U-h,U-h' is a Hopf algebra and coincides with the algebra introduced by Ohn as the dual of SLh(2). The subalgebra U--h,U-h' is isomorphic to U(s/(2)) as an algebra but has a nontrivial co-algebra structure and again Is not a Hopf subalgebra of U--h,U-h.
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页码:6769 / 6781
页数:13
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