- #1

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[tex] U(1 + \delta \omega) \approx 1 + \frac{i}{2} \delta \omega_{\mu \nu} M^{\mu \nu} [/tex]

Then he considers

[tex] U(\Lambda^{-1} \Lambda' \Lambda) [/tex]

with [itex] \Lambda' = 1 + \delta \omega' [/itex]

He then says that

[tex] U(\Lambda^{-1} \Lambda' \Lambda) \approx \delta \omega_{\mu \nu} \Lambda^{\mu}_{\, \, \rho} \Lambda^{\nu}_{\, \, \sigma} M^{\rho \sigma} [/tex]

I don't see why this is true. (by the way, I assume the [itex] \omega [/itex] is actually meant to be [itex] \omega'[/itex] ). I don't see how the [itex] \Lambda^{-1} \Lambda [/itex] turned into the expression on the right.

thanks