Sign error when deriving Weyl spinor transformation laws (3.37) in <PERSON>
I am having some trouble deriving the transormation laws for the weyl spinors, equation (3.37) in the <PERSON> book on quantum field theory.
Beginning with the realtion $\psi\to(1-\frac{i}{2}\omega_{\mu\nu}S^{\mu\nu})\psi$ from (3.30) and the form of the transformation matrices in equations (3.26) and (3.27), I get
$1-\frac{i}{2}\omega_{\mu\nu}S^{\mu\nu} = 1-\frac{i}{2}\omega_{0\nu}S^{0\nu} + \frac{i}{2}\omega_{i\nu}S^{i\nu} = 1 - \frac{i}{2}\omega_{00}S^{00} + \frac{i}{2}\omega_{0i}S^{0i} + \frac{i}{2}\omega_{i0}S^{i0} - \frac{i}{2}\omega_{ij}S^{ij}$
$ = 1 - 0 + i\omega_{0i}S^{0i} - \frac{i}{2}\omega_{ij}S^{ij} = 1+i\omega_{0i}\frac{-i}{2}\begin{pmatrix}\sigma^i & 0 \ 0 & -\sigma^i\end{pmatrix} - \frac{i}{2}\omega_{ij}\frac{1}{2}\epsilon^{ijk}\begin{pmatrix}\sigma^k & 0 \ 0 & \sigma^k\end{pmatrix} $
The discussion at the end of section 3.1, leading to equations (3.20) and (3.21) then suggest the identification $\omega_{0i} = \beta_i$ and $\omega_{ij} = \epsilon_{ijk}\theta^k$. 818