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 ) .

引用

页数：42

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