 Matrix-unit basis of the unitary Lie algebra

ID: matrix-unit-basis-of-the-unitary-lie-algebra

i E_{ii}

E_{ij} - E_{ji}

and

i (E_{ij} + E_{ji})

for

i < j

, where

E_{ij}

are matrix units. These separately span the imaginary diagonal and real and imaginary upper off-diagonal entries.

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