Angular Momentum, Quaternion, Octonion, and Lie-super Algebra Osp(1,2) *
نویسنده
چکیده
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 suq(2). * Paper dedicated to the 90th birthday of Professor Ta-You Wu. It will be published in the Proceedings of the Commemoration of Prof. Wu by World Scientific Publications.
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تاریخ انتشار 1997