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arXiv · 2108.06757

Isotropy groups of the action of orthogonal similarity on symmetric matrices

Tadej Starčič
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Abstract

We find an algorithmic procedure that enables to compute and to describe the structure of the isotropy subgroups of the group of complex orthogonal matrices with respect to the action of similarity on complex symmetric matrices. A key step in our proof is to solve a certain rectangular block upper-triangular Toeplitz matrix equation.

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Tadej Starčič. 2021-08-15. Isotropy groups of the action of orthogonal similarity on symmetric matrices. https://arxiv.org/abs/2108.06757

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