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arXiv · 2605.09766

Centralizers of the complex orthogonal and symplectic group

Tadej Starčič
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Abstract

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.

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Tadej Starčič. 2026-05-10. Centralizers of the complex orthogonal and symplectic group. https://arxiv.org/abs/2605.09766

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