实结合代数的双环与Clifford代数的结构  

Double Ring of Real Associative Algebra and Structure of Clifford Algebra

作　　者：张桂颖[1] 李武明[1] 张庆成[2] 

机构地区：[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

出　　处：《吉林大学学报（理学版）》2013年第3期434-436,共3页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10271076);吉林省教育厅科学研究项目(批准号:2007405)

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.On the basis of double ring of real associative algebra,the properties of Clifford algebra Clp,q which generated by Minkowski space Rp,q were discussed,which indicates that all the non divisible Clp,q has a double ring as its subalgebra and all the Clp,q with center subalgebra non divisible is a double ring.

关 键 词：CLIFFORD代数 双环 实结合代数 非可除代数 

分 类 号：O151.2[理学—数学]