# Good sources for the representations of the Poincare group?

• Quantum
• andresB
In summary, there are several good sources for the representation of the Poincare group used in physics, including "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, and the upcoming book by Talagrand. Other recommended sources include "Relativity, Groups, Particles" by Sexl and Urbantke, and Wigner's original paper on unitary representations of the inhomogeneous Lorentz group.
andresB
Weinberg QFT book aside, what are good sources for the representation of the Poincare group used in physics?

andresB said:
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

andresB
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

andresB

## 1. What is the Poincare group?

The Poincare group is a mathematical concept that represents the symmetries of space and time in the theory of relativity. It includes translations, rotations, and boosts (or transformations between reference frames) and is a key concept in understanding the fundamental principles of physics.

## 2. What makes a good source for representations of the Poincare group?

A good source for representations of the Poincare group should be reliable and accurate, with information that is backed up by evidence and research. It should also be written by a reputable author or published in a reputable journal or publication.

## 3. How can I find good sources for representations of the Poincare group?

One way to find good sources is to search for academic articles or books on the topic using a reputable search engine or database. You can also consult with experts in the field or look for recommendations from reputable institutions or organizations.

## 4. Are there any specific types of sources that are better for understanding representations of the Poincare group?

While there is no one specific type of source that is better than others, academic articles and textbooks tend to be more thorough and in-depth in their explanations and analyses of the Poincare group. However, it is always important to critically evaluate the reliability and credibility of any source.

## 5. How can I ensure that the sources I use for representations of the Poincare group are accurate and reliable?

To ensure accuracy and reliability, it is important to use sources that are peer-reviewed, meaning they have been evaluated by experts in the field before being published. It is also helpful to cross-reference information from multiple sources and to consider the reputation and credentials of the author or publisher.

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