TWO-PARAMETER QUANTUM VERTEX REPRESENTATIONS VIA FINITE GROUPS AND THE MCKAY CORRESPONDENCE

被引：9
|
作者：
Jing, Naihuan [2 ,3 ]
Zhang, Honglian [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[3] S China Univ Technol, Sch Sci, Guangzhou 510640, Guangdong, Peoples R China
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 363卷 / 07期
关键词：
Two-parameter quantum affine algebra; finite groups; wreath products; McKay correspondence; DRINFELD REALIZATION; ALGEBRAS;
D O I：
10.1090/S0002-9947-2011-05284-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a group-theoretic realization of two-parameter quantum toroidal algebras using finite subgroups of SL2(C) via McKay correspondence. In particular our construction contains the vertex representation of the two-parameter quantum affine algebras of ADE types as special subalgebras.
引用
收藏
页码：3769 / 3797
页数：29
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