Affiliation:
1. Universidad Simón Bolívar, Departamento de Matemáticas Puras y Aplicadas, Apartado 89000, Caracas 1080-A, Venezuela
Abstract
The purpose of this paper is to provide an octonionic description of the Lie group SL(2, 𝕆). The main result states that it can be obtained as a free group generated by invertible and determinant preserving transformations from 𝔥2(𝕆) onto itself. An interesting characterization is given for the generators of G2. Also, explicit isomorphisms are constructed between the Lie algebras 𝔰𝔩(2, 𝕂), for 𝕂 = ℝ, ℂ, ℍ, 𝕆, and their corresponding Lorentz algebras.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Tire Tracks and Integrable Curve Evolution;International Mathematics Research Notices;2018-05-17
2. Twistor description of spinning particles in AdS;Journal of High Energy Physics;2018-01
3. Yang-Mills connections valued on the octonionic algebra;Journal of Physics: Conference Series;2016-05