Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)
Okubo, Susumu
arXiv, 9710038 / Harvested from arXiv
Text on arXiv
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 $su_q(2)$.
Publié le : 1997-10-27
Classification:  Mathematical Physics 
@article{9710038,
     author = {Okubo, Susumu},
     title = {Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9710038}
}

Okubo, Susumu. Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2). arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9710038/