We begin with a few remarks on an explicit construction of a
Bargmann-Wightman-Wigner-type quantum field theory [Phys. Lett. B {\bf 316},
102 (1993)] in which bosons and associated antibosons have opposite relative
intrinsic parities. We then construct (1,0)⊕(0,1) Majorana (CP self
conjugate) and Majorana-like (CΓ5 self conjugate, Γ5= chirality
operator) fields. We point out that this new structure in the space time
symmetries may be relevant to P and CP violation.Comment: Talk presened by D. V. Ahluwalia at the III International Wigner
Symposium, Christ Church, Oxford, September 1993