Representations of Quantum Affine Algebras in their R-Matrix Realization

被引：2
|
作者：
Jing, Naihuan [1 ]
Liu, Ming [2 ]
Molev, Alexander [3 ]
机构：
[1] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
[3] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2020年 / 16卷
基金：
澳大利亚研究理事会;
关键词：
R-matrix presentation; Drinfeld polynomials; highest weight representation; Gauss decomposition; PRESENTATIONS; ISOMORPHISM;
D O I：
10.3842/SIGMA.2020.145
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use the isomorphisms between the R-matrix and Drinfeld presentations of the quantum affine algebras in types B, C and D produced in our previous work to describe finite-dimensional irreducible representations in the R-matrix realization. We also review the isomorphisms for the Yangians of these types and use Gauss decomposition to establish an equivalence of the descriptions of the representations in the R-matrix and Drinfeld presentations of the Yangians.
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页数：25
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