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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2003
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0305442 |
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| _version_ | 1866914965925920768 |
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| author | Cushman, Richard van der Kallen, Wilberd |
| author_facet | Cushman, Richard van der Kallen, Wilberd |
| contents | In this paper we give an effective method for finding a unique representative of each orbit of the adjoint and coadjoint action of the real affine orthogonal group on its Lie algebra. In both cases there are orbits which have a modulus that is different from the usual invariants for orthogonal groups. We find an unexplained bijection between adjoint and coadjoint orbits. As a special case, we classify the adjoint and coadjoint orbits of the Poincaré group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0305442 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Adjoint and coadjoint orbits of the Poincaré group Cushman, Richard van der Kallen, Wilberd Representation Theory 81R05 In this paper we give an effective method for finding a unique representative of each orbit of the adjoint and coadjoint action of the real affine orthogonal group on its Lie algebra. In both cases there are orbits which have a modulus that is different from the usual invariants for orthogonal groups. We find an unexplained bijection between adjoint and coadjoint orbits. As a special case, we classify the adjoint and coadjoint orbits of the Poincaré group. |
| title | Adjoint and coadjoint orbits of the Poincaré group |
| topic | Representation Theory 81R05 |
| url | https://arxiv.org/abs/math/0305442 |