Invariant tensors

1. Dec 22, 2012

Heirot

It is often stated that the Kronecker delta and the Levi-Civita 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. Dec 29, 2012

meldraft

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

3. Dec 29, 2012

dextercioby

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