= Gamma matrix adjoint and transpose identities
{title2=$\gamma^{a\dagger}=H\gamma^aH^{-1}$}
In the standard <Dirac representation of the gamma matrices>, $(\gamma^0)^\dagger=\gamma^0$ and $(\gamma^i)^\dagger=-\gamma^i$, so $\gamma^{a\dagger}=\gamma^0\gamma^a\gamma^0$. The transpose signs in that representation are positive for $a=0,2$ and negative for $a=1,3$. The <charge-conjugation matrix> expresses the basis-independent intertwining relation $C^{-1}\gamma^aC=-(\gamma^a)^T$. Under an arbitrary nonunitary <similarity transformation>, the <Hermitizing matrix> changes by inverse Hermitian congruence; it need not equal the transformed temporal <gamma matrix>.
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