Hermitian representations of the extended affine Lie algebra over tilde gl2 (Cq)

被引：21

作者：

Gao, Yun ^{[1
]}

Zeng, Ziting ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

来源：

ADVANCES IN MATHEMATICS | 2006年 / 207卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

extended affine Lie algebra; quantum torus; hermitian form; highest weight representation;

D O I：

10.1016/j.aim.2005.11.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the idea of free fields to obtain highest weight representations for the extended affine Lie algebra gl(2)(C-q) coordinatized by the quantum torus C-q and go on to construct a contravariant hermitian form. We further give a necessary and sufficient condition such that the contravariant hermitian form is positive definite. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：244 / 265

页数：22

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