The Yangian double of the Lie superalgebra A(m, n)

被引：10
|
作者：
Stukopin, V. A. [1 ]
机构：
[1] Don State Tech Univ, Rostov Na Donu, Russia
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2006年 / 40卷 / 02期
关键词：
Lie superalgebra; Quantum double; Universal R-matrix; Yangian; Yangian double;
D O I：
10.1007/s10688-006-0025-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Yangian double DY(A(m,n)) of the Lie superalgebra A(M,n) is described in terms of generators and defining relations. Normally ordered bases in the Yangian and its dual in the quantum double are introduced. We calculate the pairing between the elements of these bases and obtain a formula for the universal R-matrix of the Yangian double as well as a formula for the universal R-matrix (introduced by Drinfeld) of the Yangian.
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页码：155 / 158
页数：4
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