Introductory book on Lie Groups?

Click For Summary

Discussion Overview

The discussion revolves around recommendations for introductory books on Lie Groups and Lie Algebras, particularly focusing on their applications in physics. Participants express preferences for texts that prioritize understanding and practical examples over rigorous proofs.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests "Lie Groups for Pedestrians" as a suitable introductory text, noting its accessibility and minimal prerequisites.
  • Another participant recommends John Stillwell's book, highlighting its lack of prerequisites and personal endorsement.
  • A different suggestion is "Lie Groups, Lie Algebras, and Some of Their Applications" by Robert Gilmore, noted for its affordability and relevance.
  • Brian Hall's book is mentioned as a solid mathematical resource, though it is pointed out that it does not include applications to physics.

Areas of Agreement / Disagreement

Participants provide various recommendations without a clear consensus on a single best text, indicating multiple competing views on suitable introductory resources.

Contextual Notes

Some recommendations may depend on the reader's prior knowledge and specific interests in applications versus theoretical content.

Who May Find This Useful

Readers interested in learning about Lie Groups and Lie Algebras, particularly in the context of physics applications, may find these suggestions valuable.

nicksauce
Science Advisor
Homework Helper
Messages
1,270
Reaction score
7
Hi. I'm looking for an introductory book on Lie Groups and Lie Algebras and their applications in physics. Preferably the kind of book that emphasizes understanding, applications and examples, rather than proofs. Any suggestions?

Edit: Please move this to Science Book Discussion.
 
Last edited:
Physics news on Phys.org
The first introduction I read on Lie groups was Lie Groups for Pedestrians. It's short, cheap, easy to read, and presumes no more knowledge than knowing about angular momentum algebra in quantum mechanics.
 
I like:: Lie Groups, Lie Algebras, and Some of Their Applications by Robert Gilmore.
It's only $20 in paperback through Amazon.
 
Brian Hall's book is nice. It's pure math, but it doesn't require any differential geometry. It doesn't contain any applications to physics.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 14 ·
Replies
14
Views
7K
  • · Replies 18 ·
Replies
18
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K