Two-parameter quantum groups of exceptional type E-series and convex PBW-type basis

被引：19

作者：

Bai, Xiaotang ^{[1
,2
]}

Hu, Naihong ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2008年 / 15卷 / 04期

关键词：

two-parameter quantum group; Drinfel'd double; Lyndon word;

D O I：

10.1142/S100538670800059X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The presentation of two-parameter quantum groups of typeE-series in the sense of Benkart-Witherspoon is given, which has a Drinfel'd quantum double structure. The universal R-matrix and a convex PBW-type basis are described for type E-6 (as a sample), and the conditions of anisomorphism from these quantum groups into the one p arameter quantum doubles are discussed.

引用

页码：619 / 636

页数：18

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