Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Invariant tensors

  1. Dec 22, 2012 #1
    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?

  2. jcsd
  3. Dec 29, 2012 #2
    If an object is a full tensor, then it should be invariant under any linear transformation, shouldn't it?
  4. Dec 29, 2012 #3


    User Avatar
    Science Advisor
    Homework Helper

    Tensors as per definition are invariant objects, I guess the OP asked about tensor components in the canonical basis.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook