dorsal/arxiv
View SchemaAngular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)
| Authors | Susumu Okubo |
|---|---|
| Categories | |
| ArXiv ID | physics/9710038 |
| URL | https://arxiv.org/abs/physics/9710038 |
| DOI | 10.1142/9789812816566_0014 |
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 $su_q(2)$.
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"abstract": "We will derive both quaternion and octonion algebras as the Clebsch-Gordan\nalgebras based upon the su(2) Lie algebra by considering angular momentum\nspaces of spin one and three. If we consider both spin 1 and 1/2 states, then\nthe same method will lead to the Lie-super algebra osp(1,2). Also, the quantum\ngeneralization of the method is discussed on the basis of the quantum group\n$su_q(2)$.",
"arxiv_id": "physics/9710038",
"authors": [
"Susumu Okubo"
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"doi": "10.1142/9789812816566_0014",
"title": "Angular Momentum, Quaternion, Octonion, and Lie-Super Algebra osp(1,2)",
"url": "https://arxiv.org/abs/physics/9710038"
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