The universal R-matrix for quantum untwisted affine Lie algebras
The universal R-matrix for quantum untwisted affine Lie algebras
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量子无扭曲仿射李代数的通用 R 矩阵
DOI：
10.1007/bf01077085
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发表时间：
1992
影响因子：
0.4
通讯作者：
S. Khoroshkin
中科院分区：
文献类型：
--
作者：
V. Tolstoy;S. Khoroshkin
1.众所周知，Yang-巴克斯特（YB）方程的三角解是在量子仿射李代数表示理论中产生的[1-3]。另一方面，VG Drinfel'd [4，5]证明了任意反梯度李代数的标准量子形变Uq（g）是拟三角Hopf代数，即在Uq（g）的某个扩张中存在元素R，使得
1. It is known that trigonometric solutions of the Yang--Baxter (YB) equation arise in the theory of representations of quantum affine Lie algebras [1-3]. On the other hand, VG Drinfel'd [4, 5] showed that the standard quantum deformation Uq (g) of an arbilrary contragradient Lie algebra is a quasitriangular Hopf algebra, that is, there exists an element R in some extension of Uq (g)® Uq (g) such that