In SR (Special Relativity) we use the Lorentztransformation (LT) to relate one frame of reference to another. Say S to S' via a LT that depends only on v where v is the relative velocity between S and S'.
In Mathematics (and QM) we seem to be always interessted in the Kernel, the Range and the Eigenvalues and vectors of a matrix.
What do these things mean with respect to the LT?
After some thinking I concluded: The Kernel represents stuff that also moves with v relative to S or stuff that rests in S'. The Range should be anything that does not move with v.
I have no Idea what the Eigenvalues and Eigenvectors do.
Am I right so far? What is the meaning of the eigenstuff?