mathworld.wolfram.com
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MathWorld is a comprehensive online mathematics encyclopedia by Wolfram, offering detailed articles on Lie groups, Lie algebras, and representation theory, with definitions, theorems, examples, and curated references.
More resources on Lie Group Representations
MathOverflow: Learning Roadmap for Rep Theory of Lie Groups
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Lie Theory for Beginners
Learn Lie theory & group representations with Prof. Borcherds' engaging course! Perfect for beginners eager to explore this fascinating topic.
Lie Groups and Lie Algebras
Learn Lie groups and Lie algebras with this course by Richard Borcherds! Explore lie-group-representations and build a strong foundation.
ocw.mit.edu
MIT OpenCourseWare offers free, openly licensed MIT course materials—lecture notes, assignments, exams, and often video lectures—for a wide range of subjects. It includes mathematics and theoretical topics such as Lie group representations, with materials organized by individual courses.
ncatlab.org
ncatlab.org is an online collaborative wiki for higher mathematics, featuring comprehensive entries on Lie theory (including Lie groups and representations), category theory, higher categories, and related foundational topics.