Using the properties of the Dirac (gamma)-matrices verify that the matrices (left(frac{1}{2} sigma^{mu u} ight)) satisfy the

Using the properties of the Dirac \(\gamma\)-matrices verify that the matrices \(\left(\frac{1}{2} \sigma^{\mu u}\right)\) satisfy the Lie algebra of the Lorentz transformations in Eq. (1.2.179).