VERTEX REPRESENTATIONS FOR YANGIANS OF KAC-MOODY ALGEBRAS

被引：8

作者：

Guay, Nicolas ^{[1
]}

Regelskis, Vidas ^{[2
,3
]}

Wendlandt, Curtis ^{[1
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[3] Vilnius Univ, Inst Theoret Phys & Astron, Sauletekio Av 3, LT-10257 Vilnius, Lithuania

来源：

JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES | 2019年 / 6卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Yangian; vertex operator; Kac-Moody algebra; Fock space; twisted group algebra; central extension; LEVEL ONE REPRESENTATIONS; LIE-ALGEBRAS; AFFINE; EXTENSION; OPERATORS;

D O I：

10.5802/jep.103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the Poincare-Birkhoff-Witt property for simply laced affine Yangians.

引用

页码：665 / 706

页数：42

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