Local-global principle for triangularizability and diagonalizability of matrices

Kai Huang, Yufan Liu

Given a number field $k$ with the ring of integers ${\mathcal{O}}_k$ and a matrix $M\in {\mathrm{M}}_n({\mathcal{O}}_k)$. We prove that if ${\mathcal{O}}_k$ is a principal ideal domain,…