RLL-REALIZATION OF TWO-PARAMETER QUANTUM AFFINE ALGEBRA IN TYPE Dn(1)

被引：2
|
作者：
Zhuang, Rushu [1 ]
Hu, Naihong [1 ]
Xu, Xiao [1 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Moe Klmea & Sh Klpmmp, Shanghai, Peoples R China
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2024年 / 329卷 / 02期
关键词：
basic R-matrix; Drinfeld realization; RLL formulation; quantum affine algebra; Gauss decomposition;
D O I：
10.2140/pjm.2024.329.357
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain the basic R-matrix of the two-parameter quantum group U = U r , s ( so 2 n ) via its weight representation theory and determine its R-matrix with spectral parameters for the two-parameter quantum affine algebra U = U r , s ( d so 2 n ) . Using the Gauss decomposition of the R-matrix realization of U = U r , s ( so 2 n ) , we study the commutation relations of the Gaussian generators and finally arrive at its RLL-formalism of the Drinfeld realization of two-parameter quantum affine algebra U = U r , s ( d so 2 n ) .
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页数：42
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