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

页码：3769 / 3797

页数：29

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