Symplectic Lie algebra
= Symplectic Lie algebra
{c}
{title2=$\mathfrak{sp}_{2n}$}
{wiki=Symplectic_group#Lie_algebra}
For a nondegenerate alternating matrix $J$, the symplectic Lie algebra is $\mathfrak{sp}_{2n}=\{A:AJ+JA^T=0\}$.
= Symplectic Lie algebra
{c}
{title2=$\mathfrak{sp}_{2n}$}
{wiki=Symplectic_group#Lie_algebra}
For a nondegenerate alternating matrix $J$, the symplectic Lie algebra is $\mathfrak{sp}_{2n}=\{A:AJ+JA^T=0\}$.