数学杂志2011，Vol.31Issue(3)：519-524,6.
泛欧氏空间的Clifford群、扭群、旋群及它们的李代数
CLIFFORD GROUPS, PIN GROUPS, SPIN GROUPS AND THEIR LIE ALGEBRAS IN UNIVERSAL EUCLIDEAN SPACES
摘要
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 amongthem, and also the Lie algebras of these groups.关键词
Clifford群/扭群/旋群/李代数Key words
Clifford group/ pin group/ spin group/ Lie algebra.分类
数理科学引用本文复制引用
贺福利,杜金元..泛欧氏空间的Clifford群、扭群、旋群及它们的李代数[J].数学杂志,2011,31(3):519-524,6.基金项目
国家自然科学基金资助(10871150). （10871150）
