I have been calculating the currents and associated Noether charges for Lorentz transformations of the Dirac Lagrangian. Up to some spacetime signature dependent overall signs I get for the currents expressions in agreement with Eq. (5.74) in http://staff.science.uva.nl/~jsmit/qft07.pdf [Broken]. What confuses me is the 'inner' term, the anticommutator term. The associated charges vanish for boost generators, simply because the anticommutator itself vanishes for boosts, so how can these Noether charges generate all Lorentz transformations? Have I misunderstood something fundamental? PS: The charges resulting from Eq. (5.74) are hermitian. This by itself is, of course, inconsistent with the fact that boost generators are antihermitian, generating as they do the non-compact part of the Lorentz group.