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Course Material for C3.4b: Lie Groups

Course Synopsis


Lecture Material, Problem Sheets etc submitted by the Lecturer

TitleSizeLast Modified
application/pdf iconLecture 01: Definition of Lie group, Crash course on Manifolds
1.17 MBThu, 31/01/2013 - 12:53pm
application/pdf iconLecture 02: Examples of Lie groups, Lie algebra of G
1.38 MBSat, 26/01/2013 - 12:08am
application/pdf iconLecture 03: Flows, One-parameter subgroups
751.23 KBThu, 24/01/2013 - 11:48am
application/pdf iconLecture 04: The exponential map
357.9 KBSat, 26/01/2013 - 12:16am
application/pdf iconLecture 05: Lie group homs, Lie algebra homs, Adjoint maps Ad and ad
558.48 KBWed, 30/01/2013 - 12:57am
application/pdf iconLecture 06: adjoint representation, classification of abelian Lie groups
706.17 KBSun, 03/02/2013 - 11:17am
application/pdf iconLecture 07: Lie subgroups, Lie subalgebras
842.19 KBSun, 10/02/2013 - 12:26pm
application/pdf iconLecture 08 and 09: Chevalley's theorem relating Lie subalgs and Lie subgps
1.43 MBThu, 21/02/2013 - 12:41pm
application/pdf iconLecture 10: Covering spaces, Lie alg homs vs Lie gp homs, Lie's third theorem
798.97 KBFri, 15/02/2013 - 1:18am
application/pdf iconLecture 11: Representation theory, complete reducibility for compact G
703.64 KBThu, 21/02/2013 - 12:24pm
application/pdf iconLecture 12: Integration on Compact Lie groups
936.72 KBWed, 13/03/2013 - 2:30am
application/pdf iconLecture 13: Orthogonality relations, character ring, Peter-Weyl Theorem, Real vs Cx reps
908.12 KBMon, 25/02/2013 - 5:25pm
application/pdf iconLecture 14: Maximal tori in compact Lie groups
1.52 MBTue, 05/03/2013 - 4:40pm
application/pdf iconLecture 15: Weyl group, R(G) = R(T)^W for compact G, Reps of U(n)
736.86 KBMon, 01/04/2013 - 11:28pm
application/pdf iconLecture 16: generators of Weyl group, Killing form, classification of compact Lie groups
1.35 MBMon, 01/04/2013 - 11:29pm
application/pdf iconQuestion Sheet 1
221.25 KBMon, 14/01/2013 - 3:24pm
application/pdf iconQuestion Sheet 2
316.62 KBWed, 30/01/2013 - 12:58am
application/pdf iconQuestion Sheet 3
340.56 KBThu, 07/02/2013 - 7:41pm
application/pdf iconQuestion Sheet 4
578.62 KBThu, 14/02/2013 - 6:38pm
application/pdf iconQuestion Sheet 5
792.37 KBThu, 21/02/2013 - 12:42pm
application/pdf iconQuestion Sheet 6
257.17 KBThu, 21/02/2013 - 11:30am
application/pdf iconQuestion Sheet 7
385.04 KBThu, 28/02/2013 - 3:08am