Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)
Mathematical Physics
2016-11-03 v1 math.MP
Abstract
We will derive both quaternion and octonion algebras as the Clebsch-Gordan algebras based upon the su(2) Lie algebra by considering angular momentum spaces of spin one and three. If we consider both spin 1 and 1/2 states, then the same method will lead to the Lie-super algebra osp(1,2). Also, the quantum generalization of the method is discussed on the basis of the quantum group .
Cite
@article{arxiv.physics/9710038,
title = {Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)},
author = {Susumu Okubo},
journal= {arXiv preprint arXiv:physics/9710038},
year = {2016}
}
Comments
17 pages, TEX