Algebra Good book on representation theory of groups

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SUMMARY

The discussion centers on recommended literature for studying representation theory of groups, particularly for physics students. The primary texts mentioned are "Lie Groups and Lie Algebras for Physicists" by Das & Okubo, which serves as a foundational resource, and Brian Hall's book, which is praised for its pedagogical approach and clarity. Hall's text is noted for its mathematical rigor, making it suitable for those focused solely on the mathematical aspects of representation theory, while lacking physical applications.

PREREQUISITES
  • Understanding of basic representation theory concepts
  • Familiarity with Lie groups and Lie algebras
  • Mathematical proficiency in linear algebra
  • Knowledge of physics principles relevant to group theory
NEXT STEPS
  • Read "Lie Groups and Lie Algebras for Physicists" by Das & Okubo
  • Study Brian Hall's "Lie Groups, Lie Algebras, and Some of Their Applications"
  • Explore additional resources on mathematical physics
  • Practice exercises in representation theory to reinforce understanding
USEFUL FOR

Physics graduate students, mathematicians interested in group theory, and educators seeking comprehensive resources on representation theory.

beman
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Hi I am a physics graduate student. Recently I am learning representation theory of groups. I understand the basic concepts. But I need a good book with lots of examples in it and also exercise problems on representation theory so that I can brush up my knowledge.The text we follow is "Lie Groups and Lie Algebras for Physicists" by Das & Okubo.
 
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I haven't done the exercises in it, but Brian Hall's book is a very nice read.
 
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i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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