Introductory book on Lie Groups?

AI Thread Summary
For those seeking an introductory book on Lie Groups and Lie Algebras with a focus on applications in physics, several recommendations emerge. "Lie Groups for Pedestrians" by John Stillwell is highlighted as an accessible choice, requiring minimal prior knowledge and offering a concise overview. Another recommended title is "Lie Groups, Lie Algebras, and Some of Their Applications" by Robert Gilmore, noted for its affordability and practical focus. Additionally, Brian Hall's book is mentioned, although it is more mathematically rigorous and lacks direct applications to physics. Overall, these selections cater to readers looking for a clear understanding of the subject without heavy reliance on proofs.
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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?

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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.
 
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