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.
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页码：665 / 706
页数：42
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