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Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2) - MaRDI portal

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Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)

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Publication:6503766

DOI10.1142/9789812816566_0014arXivphysics/9710038MaRDI QIDQ6503766

Author name not available (Why is that?)


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 suq(2).












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