Centralizers of the complex orthogonal and symplectic group
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917479537704960 |
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| author | Starčič, Tadej |
| author_facet | Starčič, Tadej |
| contents | We find a recursive algorithm for computing the precise centralizers of the complex orthogonal and symplectic groups, and hence the isotropy groups, with respect to the similarity transformation on the spaces of skew-symmetric and Hamiltonian matrices, respectively. These groups are conjugate to groups of certain nonsingular block matrices whose blocks are rectangular block Toeplitz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09766 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Centralizers of the complex orthogonal and symplectic group Starčič, Tadej Algebraic Geometry We find a recursive algorithm for computing the precise centralizers of the complex orthogonal and symplectic groups, and hence the isotropy groups, with respect to the similarity transformation on the spaces of skew-symmetric and Hamiltonian matrices, respectively. These groups are conjugate to groups of certain nonsingular block matrices whose blocks are rectangular block Toeplitz. |
| title | Centralizers of the complex orthogonal and symplectic group |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.09766 |