Groups, Lie algebras, & its Representations

This wiki book is based on Wikipedia articles. No originality is claimed. The purpose of this book is to provide a pedagogical arrangement of the topics in Group, Lie algebra, and its representation theory. This means it starts from the very basics to the advanced (and contemporary) topics in these subjects. The primary readers would be mathematical (or theoretical) physicists and mathematicians. But, any interested readers may benefit from this book.

Book Recommendations:
2003 - Fuchs, Schweigert - Symmetries, Lie Algebras and Representations $\mid$ For mathematically minded people
2018 - Georgi - Lie Algebras In Particle Physics
1990 - Kac - Infinite-Dimensional Lie Algebras
1998 - Kac - Vertex algebras for beginners

Lecture Note Recommendations:
2010 - Lüdeling - Group Theory (for Physicists)

▛ Use capital letters to denote Lie groups and lowercase fraktur to denote corresponding Lie algebras.
■ See this animation here, taken from here




Permalink at

Published on May 25, 2023

Last revised on Feb 16, 2024