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一类双曲赋范代数

于学钎1, 梁 浩2   

  1. 1. 通化市职工大学, 吉林省 通化 134001; 2 吉林大学 物理学院, 长春 130012
  • 收稿日期:2004-12-22 修回日期:1900-01-01 出版日期:2005-05-26 发布日期:2005-05-26
  • 通讯作者: 于学钎

A Class of Hyperbolic Normed Algebra

YU Xue-qian1, LIANG Hao2   

  1. 1. Tonghua Vocational College, Tonghua 134001, Jilin Province, China;2. College of Physics, Jilin University, Changchun 130012, China
  • Received:2004-12-22 Revised:1900-01-01 Online:2005-05-26 Published:2005-05-26
  • Contact: YU Xue-qian

摘要: 利用Clifford代数中的双曲虚单位j(j22=1, j≠1, j*=-j), 建立了一种双曲Minkowski 空间. 在双曲复空间定义范数, 赋予非欧空间其代数结构, 可应用于狭义相对论物理问题的讨论.

关键词: Clifford代数, Minkowski空间, 半线性空间

Abstract: In Clifford algebra, the hyperbolic imaginary unit j(j2=1, j≠1, j*= -j) was used to establish the hyperbolic Minkowski space. We can define the hyperbolic norm and algebra structure in the non\|Euclidean space, which can be applied to the discussion of the physical problem of relativity theory.

Key words: Clifford algebra, Minkowski space, semi-linear space,

中图分类号: 

  • O411.1