Twisted quantum affinizations and their vertex representations

被引：4

作者：

Chen, Fulin ^{[1
]}

Jing, Naihuan ^{[2
]}

Kong, Fei ^{[3
]}

Tan, Shaobin ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

[2] North Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 USA

[3] South China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 08期

基金：

中国博士后科学基金;

关键词：

KAC-MOODY ALGEBRAS; AFFINE ALGEBRAS; DRINFELD REALIZATION; LIE-ALGEBRAS;

D O I：

10.1063/1.5023790

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we generalize Drinfeld's twisted quantum affine algebras to construct twisted quantum algebras for all simply laced generalized Cartan matrices and present their vertex representation realizations. Published by AIP Publishing.

引用

页数：13

共 50 条

[1] TWISTED VERTEX REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS
JING, NH
[J]. INVENTIONES MATHEMATICAE, 1990, 102 (03) : 663 - 690
[2] Representations of quantum affinizations and fusion product
Hernandez, D
[J]. TRANSFORMATION GROUPS, 2005, 10 (02) : 163 - 200
[3] On Minimal Affinizations of Representations of Quantum Groups
David Hernandez
[J]. Communications in Mathematical Physics, 2007, 276 : 221 - 259
[4] On minimal affinizations of representations of quantum groups
Hernandez, David
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 276 (01) : 221 - 259
[5] Representations of Quantum Affinizations and Fusion Product
David Hernandez
[J]. Transformation Groups, 2005, 10 : 163 - 200
[6] On twisted representations of vertex algebras
Roitman, M
[J]. ADVANCES IN MATHEMATICS, 2003, 176 (01) : 53 - 88
[7] Minimal affinizations of representations of quantum groups: The irregular case
Chari, V
Pressley, A
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1996, 36 (03) : 247 - 266
[8] TWISTED QUANTUM AFFINIZATIONS AND QUANTIZATION OF EXTENDED AFFINE LIE ALGEBRAS
Chen, Fulin
Jing, Naihuan
Kong, Fei
Tan, Shaobin
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (02) : 969 - 1039
[9] Twisted representations of vertex operator superalgebras
Dong, CY
Zhao, ZP
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2006, 8 (01) : 101 - 121
[10] Twisted representations of vertex operator algebras
Chongying Dong
Haisheng Li
Geoffrey Mason
[J]. Mathematische Annalen, 1998, 310 : 571 - 600

← 1 2 3 4 5 →