How to Start Learning Lie Groups with Minimal Physics Background?

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SUMMARY

To start learning Lie groups with minimal physics background, it is recommended to explore "Lectures on Lie Groups and Lie Algebras" by Carter Segal Macdonald and "Algebra" by Michael Artin. These texts provide foundational knowledge in group theory and elementary examples of Lie groups, including the double cover of SO(3) by SU(2). The discussion emphasizes the importance of selecting materials that focus on mathematical concepts without delving into deep physics.

PREREQUISITES
  • Basic understanding of group theory
  • Familiarity with differential geometry concepts
  • Knowledge of abstract algebra
  • Ability to read mathematical texts
NEXT STEPS
  • Research "Lectures on Lie Groups and Lie Algebras" by Carter Segal Macdonald
  • Study "Algebra" by Michael Artin for foundational group theory
  • Explore introductory materials on differential geometry
  • Investigate the representation theory of Lie groups
USEFUL FOR

Mathematicians, students of abstract algebra, and anyone interested in understanding Lie groups without a heavy emphasis on physics.

adityatatu
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Hi all,
I wanted to study Lie groups and their connections with differential geometry. But i don't want to get involved with lots of 'deep physics'.
I am familiar with a little bit of group theory.
can somebody suggest the right introductory material like tutorial papers or books for such a study?
thanks in advance.
Aditya
http://www.geocities.com/aditya_tatu
 
Physics news on Phys.org
Carter Segal Macdonald, LMS Text, Lectures on Lie Groups and Lie Algebras.

No introductory pure mathematics text will deal with phsysics.
 
algebra, by michael artin, has a couple chapters on the most elementary examples of lie groups, and representations, like the double cover of SO(3) by SU(2). This was written for sophomore abstract algebra beginners (at MIT).
 

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