Grobner-Shirshov Basis of Quantum Groups

• 作者: Gulshadam Yunus Zhenzhen Gao Abdukadir Obul
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 量子群 基础 俄国 代数方法 根向量 斜交
• 年，卷（期）: 2015,（3）
• 页码范围: 495-516
• 页数: 22页
• 分类号: O152.5
• 语种: 中文

摘要

In this paper, by using the Ringel-Hall algebra method, we prove that the set of the skew-commutator relations of quantum root vectors forms a minimal GrSbner- Shirshov basis for the quantum groups of Dynkin type. As an application, we give an explicit basis for the types E7 and Dn.