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Invariant tensors 
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#1
Dec2212, 12:11 AM

P: 151

It is often stated that the Kronecker delta and the LeviCivita epsilon are the only (irreducible) invariant tensors under the Lorentz transformation. While it is fairly easy to prove that the two tensors are indeed invariant wrt Lorentz transformation, I have not seen a proof that there aren't any more such tensors.
So, my question is, how to find all invariant tensors under some (linear) transformation? Is there a general procedure for this? Thanks 


#2
Dec2912, 08:40 AM

P: 280

If an object is a full tensor, then it should be invariant under any linear transformation, shouldn't it?



#3
Dec2912, 09:16 AM

Sci Advisor
HW Helper
P: 11,927

Tensors as per definition are invariant objects, I guess the OP asked about tensor components in the canonical basis.



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