Symplectic, orthogonal and linear Lie groups in Clifford algebra
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2014
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| _version_ | 1866915074100166656 |
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| author | Shirokov, D. S. |
| author_facet | Shirokov, D. S. |
| contents | In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal and linear groups. Also we obtain isomorphisms of corresponding Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1409_2452 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Symplectic, orthogonal and linear Lie groups in Clifford algebra Shirokov, D. S. Mathematical Physics 15A66 In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal and linear groups. Also we obtain isomorphisms of corresponding Lie algebras. |
| title | Symplectic, orthogonal and linear Lie groups in Clifford algebra |
| topic | Mathematical Physics 15A66 |
| url | https://arxiv.org/abs/1409.2452 |