- #1

shrubber

- 2

- 0

So far so good. I pick a basis and assign it an array of numbers. I then pick another basis that can be obtained by a Lorentz transform and compute a new array of numbers.

However, what happens if I pick a basis that cannot be obtained through a Lorentz transform? Is the array undefined? Or is it arbitrary? One way or other, can the relativistic tensor (or 4-vector) be called a mathematical tensor (or vector), considering it does not transform correctly under GL(n,R), but only under a subgroup?