Lorentz Group Reading: Intro & Math/Phys Perspective

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SUMMARY

The discussion centers on recommended readings for understanding the Lorentz and Poincaré groups from both mathematical and physical perspectives. Key suggestions include "Relativity, Groups, Particles: Special Relativity and Relativistic Symmetry in Field and Particle Physics" by Sexl and Urbantke, which provides a comprehensive treatment despite some Kindle viewing issues noted in reviews. Additionally, Wu Ki Tung's book on Group Theory offers a simpler introduction, while Fonda and Ghirardi's work presents a moderate level of sophistication but lacks proofs for fundamental group theory results.

PREREQUISITES
  • Basic understanding of group theory concepts
  • Familiarity with special relativity principles
  • Knowledge of mathematical proofs and their applications
  • Exposure to particle physics and relativistic symmetry
NEXT STEPS
  • Read "Relativity, Groups, Particles: Special Relativity and Relativistic Symmetry in Field and Particle Physics" by Sexl and Urbantke
  • Study Wu Ki Tung's book on Group Theory for a simpler introduction
  • Explore Fonda and Ghirardi's work for intermediate insights into group theory
  • Research additional resources on the mathematical foundations of Lorentz and Poincaré groups
USEFUL FOR

This discussion is beneficial for physicists, mathematicians, and students interested in the intersection of group theory and relativity, particularly those seeking a deeper understanding of Lorentz and Poincaré groups.

Silviu
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Hello! Can someone recommend me some good reading about Lorentz and Poincare groups. I would like something that starts from introductory notions but treats the matter both from math (proofs and all that) and physics point of view. Thank you
 
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One possibility is "Relativity, Groups, Particles: Special Relativity and Relativistic Symmetry in Field and Particle Physics" by Sexl and Urbantke

https://www.amazon.com/dp/3211834435/?tag=pfamazon01-20

Note that the bad review is because of viewing problems with Kindle, not because of content.
 
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A somewhat simpler exposure one can find in the book by Wu Ki Tung on Group Theory. Here, as with other books, you can skip the treatment of finite groups.
Another book - in between at the level of sofistication - is the rare one by Fonda and Ghirardi, but this one lacks in proofs for the fundamental (albeit difficult) group theory results.
 

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