An Elementary Derivation of the Matrix Elements of Real Irreducible Representations of so(3)
Using elementary techniques, an algorithmic procedure to construct skew-symmetric matrices realizing the real irreducible representations of so(3) is developed. We further give a simple criterion that enables one to deduce the decomposition of an arbitrary real representation R of so(3) into real ir...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/23855 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/23855 |
| Access Level: | acceso abierto |
| Palabra clave: | 512 514.743 Real representation Matrix element Tensor product Álgebra 1201 Álgebra |
| Sumario: | Using elementary techniques, an algorithmic procedure to construct skew-symmetric matrices realizing the real irreducible representations of so(3) is developed. We further give a simple criterion that enables one to deduce the decomposition of an arbitrary real representation R of so(3) into real irreducible components from the characteristic polynomial of an arbitrary representation matrix. |
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