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泛欧氏空间的Clifford群、扭群、旋群及它们的李代数
  • 期刊名称：数学杂志
  • 时间：0
  • 页码：519-524
  • 语言：中文
  • 分类：O152[理学—数学;理学—基础数学] O174[理学—数学;理学—基础数学]
  • 作者机构：[1]中南大学数学科学与计算技术学院,湖南长沙410083, [2]武汉大学数学与统计学院,湖北武汉430072
  • 相关基金：国家自然科学基金资助（10871150）
  • 相关项目：复与超复分析中边值问题与奇异积分方程
作者： 贺福利，杜金元|
关键词： Clifford群, 扭群, 旋群, 李代数, Clifford group, pin group, spin group, Lie algebra.
中文摘要：

本文研究了泛欧氏空间的Clifford群、扭群、旋群,它们为Clifford代数中选出极好的一类子群.利用Clifford代数理论方法,获得了泛欧氏空间中Clifford群、扭群、旋群及其李代数的结构及它们之间的关系,并且得到了它们的李代数.

英文摘要：

In this article,we discuss the Clifford groups,the pin groups and the spin groups in universal Euclidean spaces.These groups are certain well chosen subgroups of Clifford algebras.By using Clifford algebra theory,we get the structure of these groups and the relationships among them,and also the Lie algebras of these groups.

同期刊论文项目
复与超复分析中边值问题与奇异积分方程
期刊论文 39 会议论文 6
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