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, Lie theory by examples (http://math.ucr.edu/home/baez/qg-fall2008/).
koolmodee
Oct7-08, 03:47 AM
Part two is online! Come on people, you have to enjoy this.
John Baez is even planning writing a book on symmetry, using the material from these notes.
matematikawan
Oct7-08, 12:32 PM
I can't find examples relating Lie theory to differential equations.
koolmodee
Oct8-08, 06:08 AM
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.