Centralizers of the complex orthogonal and symplectic group
Algebraic Geometry
2026-05-12 v1
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.
Cite
@article{arxiv.2605.09766,
title = {Centralizers of the complex orthogonal and symplectic group},
author = {Tadej Starčič},
journal= {arXiv preprint arXiv:2605.09766},
year = {2026}
}