Isotropy groups of the action of orthogonal similarity on skew-symmetric and on complex orthogonal matrices
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908717470973952 |
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| author | Starčič, Tadej |
| author_facet | Starčič, Tadej |
| contents | We compute and analyze isotropy subgroups of the complex orthogonal group with respect to the similarity transformation on itself and on skew-symmetric matrices. Their group structure is related to a group of certain nonsingular block matrices whose blocks are rectangular block Toeplitz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14871 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isotropy groups of the action of orthogonal similarity on skew-symmetric and on complex orthogonal matrices Starčič, Tadej Differential Geometry We compute and analyze isotropy subgroups of the complex orthogonal group with respect to the similarity transformation on itself and on skew-symmetric matrices. Their group structure is related to a group of certain nonsingular block matrices whose blocks are rectangular block Toeplitz. |
| title | Isotropy groups of the action of orthogonal similarity on skew-symmetric and on complex orthogonal matrices |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.14871 |