On matrix Lie affgebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916152150589440 |
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| author | Brzeziński, Tomasz Radziszewski, Krzysztof |
| author_facet | Brzeziński, Tomasz Radziszewski, Krzysztof |
| contents | Lie brackets or Lie affgebra structures on several classes of affine spaces of matrices are studied. These include general normalised affine matrices, special normalised affine matrices, anti-symmetric and anti-hermitian normalised affine matrices and special anti-hermitian normalised affine matrices. It is shown that, when retracted to the underlying vector spaces, they correspond to classical matrix Lie algebras: general and special linear, anti-symmetric, anti-hermitian and special anti-hermitian Lie algebras respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05142 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On matrix Lie affgebras Brzeziński, Tomasz Radziszewski, Krzysztof Rings and Algebras Mathematical Physics 17B05, 20N10, 81R12 Lie brackets or Lie affgebra structures on several classes of affine spaces of matrices are studied. These include general normalised affine matrices, special normalised affine matrices, anti-symmetric and anti-hermitian normalised affine matrices and special anti-hermitian normalised affine matrices. It is shown that, when retracted to the underlying vector spaces, they correspond to classical matrix Lie algebras: general and special linear, anti-symmetric, anti-hermitian and special anti-hermitian Lie algebras respectively. |
| title | On matrix Lie affgebras |
| topic | Rings and Algebras Mathematical Physics 17B05, 20N10, 81R12 |
| url | https://arxiv.org/abs/2403.05142 |