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.
出处
《数学的实践与认识》
北大核心
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)
