Horrocks theorem for odd orthogonal groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918056551251968 |
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| author | A, Ambily A H, Sugilesh |
| author_facet | A, Ambily A H, Sugilesh |
| contents | We prove Horrocks' theorem for the odd elementary orthogonal group, which gives a decomposition of an orthogonal matrix with entries from a polynomial ring $R[X]$, over a commutative ring $R$ in which 2 is invertible, as a product of an orthogonal matrix with entries in $R$ and an elementary orthogonal matrix with entries from $R[X]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10360 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Horrocks theorem for odd orthogonal groups A, Ambily A H, Sugilesh K-Theory and Homology We prove Horrocks' theorem for the odd elementary orthogonal group, which gives a decomposition of an orthogonal matrix with entries from a polynomial ring $R[X]$, over a commutative ring $R$ in which 2 is invertible, as a product of an orthogonal matrix with entries in $R$ and an elementary orthogonal matrix with entries from $R[X]$. |
| title | Horrocks theorem for odd orthogonal groups |
| topic | K-Theory and Homology |
| url | https://arxiv.org/abs/2506.10360 |