i am facing problems in the definition of dual oF some objects which has pair of anti symmetric indices e.g. Weyl curvature tensor. Double dual is there in the literature but given that how to find the anti self dual part of that. the problem is written in attached the file.
Thanks a lot for your reply.I understand this .Can you tell me how prove it directly using the delta function properties without presuming the invariant measure ?
In Quantum field theory by Peskin Schroeder for relativistic normalization
δ(p'-q')=δ(p-q) dp'3/dp3
where the boost is in z direction. How did they compute it?