Symplectic Group - Example of Symplectic Matrices

Example of Symplectic Matrices

For Sp(2), the group of 2 x 2 matrices with determinant 1, the three symplectic (0, 1)-matrices are:

$\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix},\quad \begin{pmatrix} 1 & 0 \\ 1 & 1 \end{pmatrix},\quad \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}$

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