Learn Lie Groups & Lie Algebras with John Baez

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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.