An $n\times n$ unitary matrix can always be written in the form, $$ U=e^{i\,H}\,,$$ where $H$ is a Hermitian matrix. If we use the generalized Gell-Mann matrices as the basis for Hermitian matrices, does this parametrization cover the whole space of Unitary matrices for a given dimension?
2026-03-25 22:10:06.1774476606
Parametrizing Unitary matrices using Hermitian matrices. Covers the whole space?
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