representation

[sanctus]

Just a curiosity:

all the representations I encountered where applications from the group to a "the linear transformation of a vectorial space" (i.e automorphisms of a given space i.e. matrix representations).

My question is simply if someone knows if other representations are used in physics (i.e automorphisms of spaces that aren't matrices (or tensors))?

Hope I was clear....and thanks

[Bo]

the generator of the group of translations has as representation:
P_m =i d/dx^m
and generates the momentum.

(of course this is still an operator that applies to some vector in a hilbert space)

Bo

[sanctus]

thanks! now as I read it I think I saw it already somewhere ....