Equivalences between three presentations of orthogonal and symplectic Yangians

被引：22
|
作者：
Guay, Nicolas [1 ]
Regelskis, Vidas [2 ]
Wendlandt, Curtis [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, CAB 632, Edmonton, AB T6G 2G1, Canada
[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2019年 / 109卷 / 02期
基金：
加拿大自然科学与工程研究理事会; 英国工程与自然科学研究理事会;
关键词：
Lie algebras; Yangians; Presentations; R-matrix; Representations; AFFINE QUANTUM ALGEBRAS; TENSOR-PRODUCTS; R-MATRIX; DRINFELD REALIZATION; TWISTED YANGIANS; TYPES B; REPRESENTATIONS; IRREDUCIBILITY; MODULES;
D O I：
10.1007/s11005-018-1108-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove the equivalence of two presentations of the Yangian Y(g) of a simple Lie algebra g, and we also show the equivalence with a third presentation when g is either an orthogonal or a symplectic Lie algebra. As an application, we obtain an explicit correspondence between two versions of the classification theorem of finite-dimensional irreducible modules for orthogonal and symplectic Yangians.
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页码：327 / 379
页数：53
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