Normality of Vaserstein group
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_ | 1866915139950739456 |
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| author | Amrutha, Ruddarraju Chattopadhyay, Pratyusha |
| author_facet | Amrutha, Ruddarraju Chattopadhyay, Pratyusha |
| contents | A.A. Suslin proved a normality theorem for an elementary linear group and V.I. Kopeiko extended this result of Suslin for a symplectic group defined with respect to the standard skew-symmetric matrix of even size. We generalized the result of Kopeiko for a symplectic group defined with respect to any invertible skew-symmetric matrix of Pfaffian one. Vaserstein group is an extension of a symplectic group defined with respect to any invertible skew-symmetric matrix of Pfaffian one in the set up of projective modules. Here we prove a normality theorem for Vaserstein group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03343 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normality of Vaserstein group Amrutha, Ruddarraju Chattopadhyay, Pratyusha Commutative Algebra Representation Theory A.A. Suslin proved a normality theorem for an elementary linear group and V.I. Kopeiko extended this result of Suslin for a symplectic group defined with respect to the standard skew-symmetric matrix of even size. We generalized the result of Kopeiko for a symplectic group defined with respect to any invertible skew-symmetric matrix of Pfaffian one. Vaserstein group is an extension of a symplectic group defined with respect to any invertible skew-symmetric matrix of Pfaffian one in the set up of projective modules. Here we prove a normality theorem for Vaserstein group. |
| title | Normality of Vaserstein group |
| topic | Commutative Algebra Representation Theory |
| url | https://arxiv.org/abs/2502.03343 |