On the FRTS approach to quantized current algebras

被引:3
作者
Ding, JT [1 ]
Khoroshkin, S
机构
[1] Kyoto Univ, Rims, Kyoto 606, Japan
[2] Inst Theoret & Expt Phys, Moscow 117259, Russia
基金
俄罗斯基础研究基金会;
关键词
quantized current algebras; FRTS approach; quantum affine algebras;
D O I
10.1023/A:1007479807541
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the possibility to establish L-operator's formalism by Faddeev-ReshetikhinTakhtajan-Semenov-Tian-Shansky (FRST) for quantized current algebras, that is, for quantum affine algebras in the 'new realization' by V. Drinfeld with the corresponding Hopf algebra structure and for their Yangian counterpart. We establish this formalism using the twisting procedure by Tolstoy and the second author and explain the problems which on I:RST approach encounters for quantized current algebras. We also show that, for the case of U-q (<(sl)over cap (n)>), entries of the L-operators of the FRTS type give the Drinfeld current operators for the nonsimple roots, which we discovered recently. As an application, we deduce the commutation relations between these current operators for U-q (<(sl)over cap (n)>).
引用
收藏
页码:331 / 352
页数:22
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