Matrix-unit basis of the compact symplectic Lie algebra
= Matrix-unit basis of the compact symplectic Lie algebra
In its block form, a <matrix-unit basis of the unitary Lie algebra> spans the anti-Hermitian block $A$, with the corresponding conjugate block below. Independent real and imaginary symmetric <matrix units> span $B$, with lower block $-\overline B$. These give $n^2+n(n+1)$ independent real generators, including diagonal symmetric entries.