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q2 I dont know why after contraction operation (or trace of tensor) the rank of a tensor will be reduced by 2?

q3 I can't imagiant how the fourth rank tensor, e^iklm looks like?

q4 What does an anti-symmetric tensor e^iklm means? Is it a 4 by 4 martix or a vector?

q5 How to find that: e^iklm e_iklm = -24?

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