Given a Lie group $G$ with Lie algebra $\mathfrak{g}$ on has the adjoint action of each $g\in G$ given by $Ad_g(\mathfrak{g})$.
Is $Ad_g: \mathfrak{g} \rightarrow \mathfrak{g}$ a normal operator always? It is normal in the case of $G=SU(n)$?
2026-04-24 03:59:34.1777003174
Are the elements of the adjoint represetnation normal operators
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