Good sources for the representations of the Poincare group?

[andresB]

Weinberg QFT book aside, what are good sources for the representation of the Poincare group used in physics?

 

[George Jones]

Weinberg QFT book aside, what are good sources for the representation of the Poincare group used in physics?

In order of roughly increasing rigour:

"Group Theory in Physics" by Tung;
"Theory of Group Representations and Applications" by Barut and Raczka;
"Quantum Field Theory: A Tourist Guide for Mathematicians" by Folland.

There is also the forthcoming book on quantum field theory by the mathematician Talagrand. Interesting, Talagrand learned induced representations (of the Poincare group) from Weinberg's book; see Talagrand's Table of Contents and very interesting Introduction.

http://michel.talagrand.net/qft.pdf

 

[vanhees71]

I also like very much

R. U. Sexl, H. K. Urbantke, Relativity, Groups, Particles, Springer, Wien (2001).

and, last but not least, Wigner's orignal paper

E. P. Wigner, On Unitary Representations of the
Inhomgeneous Lorentz Group, Annals of Mathematics 40
(1939) 149.
http://dx.doi.org/10.1016/0920-5632(89)90402-7