Group Theory Basics: Where Can I Learn More?

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SUMMARY

This discussion centers on learning resources for Group Theory, particularly for beginners. Recommended texts include "Groups and Symmetry" by M. A. Armstrong (1988), "An Introduction to the Theory of Groups" by J. Rotman (1995), and "Abstract Algebra" by Dummit & Foote. The Schaum's Outline of Group Theory is highlighted for its practical exercises and examples. Participants express interest in a collaborative workshop focusing on classical groups relevant to physics, such as SO(3) and SU(2).

PREREQUISITES
  • Basic understanding of algebraic structures
  • Familiarity with linear algebra concepts
  • Knowledge of matrix operations
  • Interest in mathematical applications in physics
NEXT STEPS
  • Explore "Abstract Algebra" by Dummit & Foote for a comprehensive introduction
  • Study "An Introduction to Lie Groups" by Jerry Marsden for applications in physics
  • Investigate online resources such as the Caltech online textbooks for free materials
  • Research the implications of SO(3) and SU(2) in quantum mechanics and classical physics
USEFUL FOR

Mathematicians, physicists, students interested in algebraic structures, and anyone looking to understand the applications of Group Theory in various scientific fields.

  • #211
There is the Dog School of Mathematics of dogpile fame. They have a nice tutorial on group theory.
 

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