# Group Theory (for physicists) This content was not part of my original plan but was added due to a temporary decision. The goal is to understand the mathematical representation of symmetry and gain an intuitive grasp of group theory. This is not intended to be mathematically rigorous but rather aimed at facilitating the understanding of crystal optics (finite group, I need understand it in really short time) and other physical phenomena (mainly Lie group, representation theory). Intro and finite groups - [[Set theory recap]] - [[Definition of groups]] - [[Finite groups]] - [[Direct products and direct sums]] - [[Noncommutative groups]] - [[More examples on finite groups]] Lie groups and Lie algebra - [[Lie groups]] The materials are the following books, although only selected part would be mentioned, 1. [[Group Theory Application to the Physics of Condensed Matter]] by Mildred Dresselhaus. 2. [[Lie Groups, Lie Algebras, and Representations]] by Brian C. Hall. This seems to be a much more mathematical orientated book. Part I would be very helpful. 3. [[Physics from Symmetry]] by Jakob Schwichtenberg. It seems that this book did not spend tons of chapters on mathematical proofs and mainly focus on physics. 4. Lecture note, [[Group_2_finite group.pdf]]. This focus on finite group. Download from https://www.math.nagoya-u.ac.jp/~richard/teaching/s2015/Group_2.pdf 5. [[Lie Algebras In Particle Physics from Isospin To Unified Theories]], this is said to be a comprehensive book for physics students. For reference only. 6. [[Group Theory in a Nutshell for Physicists]]. It is said that this is a very good book for introductory study. But this book is too thick, I'll consider it as an reference (and for fun). Some general info: - [[Quick overview of algebraic structures]]