实结合代数的双环与Clifford代数的结构

J4 ›› 2013, Vol. 51 ›› Issue (03): 434-436.

实结合代数的双环与Clifford代数的结构

张桂颖¹, 李武明¹, 张庆成²

1. 通化师范学院数学学院, 吉林通化 134002|2. 东北师范大学数学与统计学院, 长春 130024

收稿日期:2012-09-03 出版日期:2013-05-26 发布日期:2013-05-17
通讯作者: 张桂颖 E-mail:zhangguiying1981@163.com

Double Ring of Real Associative Algebraand |Structure of Clifford Algebra

ZHANG Guiying¹, LI Wuming¹, ZHANG Qingcheng²

1. Department of Mathematics, Tonghua Normal University, Tonghua 134002, Jilin Province, China;2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2012-09-03 Online:2013-05-26 Published:2013-05-17
Contact: ZHANG Guiying E-mail:zhangguiying1981@163.com

摘要/Abstract

摘要：

由实结合代数的双环讨论p+q维Minkowski空间 R^p,q生成的Clifford代数Cl_p,q的性质. 结果表明：所有非可除的Cl_p,q均存在双环为其子代数; 所有中心子代数非可除的Cl_p,q均为双环.

关键词: Clifford代数, 双环, 实结合代数, 非可除代数

Abstract:

On the basis of double ring of real associative algebra, the properties of Clifford algebra Cl_p,q which generated by Minko
wski space R^p,q were discussed, which indicates that all the non divisible Cl_p,qhas a double ring as its subalgebra and all the Cl_p,qwith center subalgebra non divisible is a double ring.

Key words: Clifford algebra, double ring, real associative algebra, non divisible algebra

中图分类号:

O151.2

张桂颖, 李武明, 张庆成. 实结合代数的双环与Clifford代数的结构[J]. J4, 2013, 51(03): 434-436.

ZHANG Gui-Ying, LI Wu-Meng, ZHANG Qiang-Cheng. Double Ring of Real Associative Algebraand |Structure of Clifford Algebra[J]. J4, 2013, 51(03): 434-436.

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