Weyl group extension of quantized current algebras

被引：26
作者：
Ding, J
Khoroshkin, S
机构：
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
[2] Inst Theoret & Expt Phys, Moscow 117259, Russia
来源：
TRANSFORMATION GROUPS | 2000年 / 5卷 / 01期
关键词：
Group Action; Topological Group; Weyl Group; Current Operator; Braid Group;
D O I：
10.1007/BF01237177
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we extend Drinfeld's current realization of quantum affine algebras U-q((g) over cap) and of the Yangians in several directions: we construct current operators for non-simple roots of g, define a new braid group action in terms of the current operators, and describe the universal R-matrix for the corresponding "Drinfeld" comultiplication in the forms of an infinite product and of certain integrals over current operators.
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页码：35 / 59
页数：25
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