Course Structure (2015)

(26 lectures)

PART I : Classical Lie Groups

PART II : Classical Lie Algebras

PART III : Topology (of Classical Lie Groups)

Double-Lectures/Sessions

(Classical Lie groups)

 1 : Geometry of complex numbers and quaternions

 2 : Groups

 3 : Generalized rotation groups, I

 4 : Generalized rotation groups, II

(Classical Lie algebras)

 5 : The exponential map

 6 : The tangent space

 7 : Structure of Lie algebras, I

 8 : Structure of Lie algebras, II

 9 : The matrix logarithm, I

 10 : The matrix logarithm, II

(Topology)

 11 : Topology

 12 : Simply connected Lie groups, I

 13 : Simply connected Lie groups, II

Key Results

Key results

Last Modified: Thu, 26 Feb 2015 09:11:03 SAST