prove the zero component lemma for any anti-symmetric 4-tensor: If anyone of its 0ff-diagonal component is zero in all inertial coordinate system, then the entire tensor is zero.
The Attempt at a Solution
in case of 4-vector, if a particular component is zero in all inertial frame then by Lorentz Transformation in different direction, it can be proved that the 4-vector is zero in all inertial frame.
Here, i m confusing in how to prove it in case of anti-symmetric 4-tensor
Any help would be highly appreciated. thank