On the Odd Unitary Analogue of Gram-Schmidt Process
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913852035170304 |
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| author | A., Ambily A. K, Aparna Pradeep V. |
| author_facet | A., Ambily A. K, Aparna Pradeep V. |
| contents | In 1976, L.N. Vaserstein used a construction analogous to the Gram-Schmidt orthogonalisation, for obtaining a set of symplectic matrices from a set of elementary matrices. We have a similar construction for Petrov's odd unitary group. Here, we prove that the elementary matrices in the odd unitary analogue of the Gram-Schmidt process form a set of generators for the elementary linear group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Odd Unitary Analogue of Gram-Schmidt Process A., Ambily A. K, Aparna Pradeep V. Group Theory K-Theory and Homology 20G99 (primary), 13A99, 14L35, 15A24 (secondary) In 1976, L.N. Vaserstein used a construction analogous to the Gram-Schmidt orthogonalisation, for obtaining a set of symplectic matrices from a set of elementary matrices. We have a similar construction for Petrov's odd unitary group. Here, we prove that the elementary matrices in the odd unitary analogue of the Gram-Schmidt process form a set of generators for the elementary linear group. |
| title | On the Odd Unitary Analogue of Gram-Schmidt Process |
| topic | Group Theory K-Theory and Homology 20G99 (primary), 13A99, 14L35, 15A24 (secondary) |
| url | https://arxiv.org/abs/2505.16295 |