On the centre of two-parameter quantum groups

被引：15

作者：

Benkart, G ^{[1
]}

Kang, SJ

Lee, KH

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[3] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2006年 / 136卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0308210500005011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe Poincare-Birkhoff-Witt bases for the two-parameter quantum groups U = U-r,U-s (sl(n)) following Kharchenko and show that the positive part of U has the structure of an iterated skew polynomial ring. We define an ad-invariant bilinear form on U, which plays an important role in the construction of central elements. We introduce an analogue of the Harish-Chandra homomorphism and use it to determine the centre of U.

引用

页码：445 / 472

页数：28

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