Course Material
Course Structure
(13 weeks)
PART I : Classical Lie Groups
PART II : Classical Lie Algebras
PART III : Topology (of Classical Lie Groups)
Lectures/Sessions
(Classical Lie groups)
WEEK 1 : Geometry of complex numbers and quaternions
WEEK 2 : Groups
WEEK 3 : Generalized rotation groups, I
WEEK 4 : Generalized rotation groups, II
(Classical Lie algebras)
WEEK 5 : The exponential map
WEEK 6 : The tangent space
WEEK 7 : Structure of Lie algebras, I
WEEK 8 : Structure of Lie algebras, II
WEEK 9 : The matrix logarithm, I
WEEK 10 : The matrix logarithm, II
(Topology)
WEEK 11 : Topology
WEEK 12 : Simply connected Lie groups, I
WEEK 13 : Simply connected Lie groups, II
