Lorentz transformations hae a representation on the fields - meaning?

[latentcorpse]

I've just read the statement

"The Lorentz transformations have a representation on the fields"

Can anyone explain the meaning of the word representation? I can't seem to get a satisfactory explanation anywhere and the notes don't go into much more detail on it.

 

[dextercioby]

You have to figure out the meaning from the context, I assume. Perhaps they mean that there's a representation of the Lorentz group onto some space acting on the fields...

 

[latentcorpse]

You have to figure out the meaning from the context, I assume. Perhaps they mean that there's a representation of the Lorentz group onto some space acting on the fields...

hmmm...but representation itself - does that just mean a way of writing it as a bunch of matrices?

 

[niklaus]

http://en.wikipedia.org/wiki/Representation_theory