Reddit mentions of Quantum Field Theory

If you look at pretty much any book written for particle physics and Lie Groups they cover examples first (usually spin and angular momentum), but I don't think you'll find exactly what you are looking for. Lie Groups for Pedestrians starts by generating representations of the SU(2) Lie Algebra using creation and annihilation operators, so it might be along the lines of what you are looking for.

Edit: Also, I believe Ryder's book on QFT explicitly uses co-sets and more formal aspects of group theory to talk about gauge-fixing. That might be a good place to look for how those more formal ideas are applied. Of course, Weinberg's book on QFT (vol 2.) also talks about some aspects of representation theory with examples that might be a good way to connect to the math you are cranking out (for example how the adjoint representation relates to gauge bosons).