| 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. |
| 关键词: Clifford群 扭群 旋群 李代数 |
| DOI： |
| 分类号:O152 O174 |
| 基金项目:国家自然科学基金 |
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| CLIFFORD GROUPS, PIN GROUPS, SPIN GROUPS AND THEIR LIE ALGEBRAS IN UNIVERSAL EUCLIDEAN SPACES |
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HE Fu-li,DU Jin-yuan
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HE Fu-li1,2,DU Jin-yuan2(1.School of Mathematics Sciences and Computing Technology,Central South University,Changsha 410083,China)(2.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)
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| Abstract: |
| 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. |
| Key words: Clifford group pin group spin group Lie algebra. |
