Opposite Weyl boost generators
ID: opposite-weyl-boost-generators
With and in the supplied mostly-minus index convention, the two Weyl spinor blocks have equal rotation generators and opposite boost generators. A complex-linear intertwiner must commute with every SU(2) rotation and hence be scalar by the Schur lemma, but no nonzero scalar intertwines the opposite boosts. This proves inequivalence of the two complex representations; parity exchanges them.
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