Groups and symmetry - groups, finite groups, matrix groups, and the classification theorems for simple groups (finite and finite-dimensional matrix.)

Lie algebras and analyticity. The exponential map

Lie algebras and analyticity. The exponential map

Global classification of semisimple Lie groups 

Global classification of semisimple Lie groups 

Quantum control and Lie groups 

KAK decompositions 

Noncompact Lie groups