Lie Algebras and their Representations

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source: tomsmathvideos    2012年7月21日
Lie algebras and their representations
Lectures 1 to 11 are formal, lectures 12 to 16 are rather meant as an inspiration for self study. Lecture 2 is optional and can be skipped.
Recommended reading: Either of
* Humphreys, Introduction to Lie algebras and representation theory
* Erdmann/Wildon, Introduction to Lie algebras
I recommend to start working on a problem set when it appears in the playlist, and to finish it after the subsequent lecture.

Lie algebras and their representations 1 1:00:26
Lie algebras - problem set 1 0:21
Lie algebras and their representations 2 1:12:01
Lie algebras and their representations 3 1:08:52
Lie algebras - problem set 2 0:21
Lie algebras and their representations 4 1:12:01
Lie algebras - problem set 3 0:16
Lie algebras and their representations 5 1:12:01
Lie algebras - problem set 4 0:16
Lie algebras and their representations 6 1:13:09
Lie algebras - problem set 5 0:16
Lie algebras and their representations 7 1:15:02
Lie algebras - problem set 6 0:21
Lie algebras and their representations 8 1:15:02
Lie algebras - problem set 7 0:11
Lie algebras and their representations 9 1:15:11
Lie algebras - problem set 8 0:11
Lie algebras and their representations 10 1:13:33
Lie algebras - problem set 9 0:26
Lie algebras and their representations 11 1:07:27
Lie algebras - problem set 10 0:16
Lie algebras and their representations 12 1:17:02
Lie algebras - problem set 11 0:16
Lie algebras and their representations 13 1:17:02
Lie algebras and their representations 14 19:35
Lie algebras and their representations 15 1:17:02
Lie algebras and their representations 16 1:17:02
Lie algebras - review questions 0:21