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arXiv · 2512.14871

Isotropy groups of the action of orthogonal similarity on skew-symmetric and on complex orthogonal matrices

Tadej Starčič
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Abstract

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.

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Tadej Starčič. 2025-12-16. Isotropy groups of the action of orthogonal similarity on skew-symmetric and on complex orthogonal matrices. https://arxiv.org/abs/2512.14871

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