Suppose $J$ is standard symplectic matrix =$\begin{bmatrix} 0 & I_d\\ -I_d & 0\end{bmatrix}$. Now $\theta$ be any invertible $2d \times 2d$ skew symmetric matrix. Then there exists an invertible $2d \times 2d$ matrix $T_\theta$ such that $T_\theta^tJT_\theta = \theta$. Is the map $\theta \rightarrow T_\theta$ continuous in Euclidean norm?
2026-04-06 11:12:43.1775473963
symplectic maps and continuity
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