八元数空间中的normalized系统  

Normalized System for Dirac Operator in Octonionic Space

作　　者：王海燕[1] 边小丽[1] 王艳秋[1] 

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《数学的实践与认识》2016年第23期283-290,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金数学天元项目(11526154);天津职业技术师范大学科研启动基金(KYQD14041)

摘　　要：八元数是非交换、非结合的代数结构,由于其乘法的非结合性质,使得其在例外李群、Yang-Mills方程、黑洞、弦论、狭义相对论等中具有重要的应用.给出了八元数Dirac算子的0-normalized系统,实现了normalized系统在非交换非结合空间推广的目的.Octonion is a generalization of quaternion to nonassociative algebra which has closed relation with Yang-Mills equations, black hole, string theory and special relativity. The purpose of this paper is to generalize normalized system into non-commutative and non-associative space, which will enrich octonion analysis so that it will give new energy for the development of physics.

关 键 词：八元数 非交换非结合空间 normalized系统 

分 类 号：O156.2[理学—数学]