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.

引用

页码：327 / 379

页数：53

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