Learn Lie Groups & Lie Algebras with John Baez

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John Baez is offering lectures this fall on Lie groups and Lie algebras, aimed at making the subject more accessible. The lectures are accompanied by online resources, including a second part available for viewing. Baez plans to write a book on symmetry based on the material covered in his lectures. The course focuses on the classification theory of Lie groups and their standard representations, particularly matrices for classical Lie groups. The discussion highlights a lack of examples connecting Lie theory to differential equations, emphasizing the vastness of the subject.
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If you ever wanted to learn about Lie groups and Lie algebras but was frightened by the textbooks, there is great news. John Baez gives lectures this fall, http://math.ucr.edu/home/baez/qg-fall2008/" .
 
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I can't find examples relating Lie theory to differential equations.
 
Lie theory is a huge subject. As I understand Baez concentrates in his course on the classification theory of Lie groups and their so called standard representations, which are matrices for the classical Lie groups.
 
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