Introduction to Lie Algebras and Representation Theory
James E. Humphreys
Introduction to Lie Algebras and Representation Theory - A book resource
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More resources on Lie Algebras
nLab: Lie Algebra
Comprehensive reference with representation theory section
Lie Algebras
Learn Lie algebras from Professor Richard Borcherds! This course covers fundamental concepts and examples.
mathworld.wolfram.com
MathWorld is Wolfram's comprehensive online mathematics encyclopedia, offering in-depth articles on a wide range of topics. It provides definitions, theorems, examples, and referencesācomplete with formulas and diagramsācovering areas such as Lie algebras.
Lie Algebras in Particle Physics
Lie Algebras in Particle Physics - A book resource
ocw.mit.edu
MIT OpenCourseWare provides free, openly licensed MIT course materials across many subjects, including mathematics. You can access lecture notes, problem sets, exams, and sometimes video lectures for courses that cover algebra and linear algebra, useful for studying Lie algebras.
ncatlab.org
nLab is a collaborative wiki-style resource for mathematics and related areas, hosting community-contributed articles with definitions, explanations, and links on Lie algebras, Lie groups, representation theory, category theory, and higher algebra. It provides informal expositions, examples, and cross-links to related concepts.