MATS1990 Lie groups (4 cr)

Differentiable manifolds, Lie bracket, Lie groups, Lie algebras, Lie homomorphisms, exponential map; (possibly: adjoint representation, Haar measure, homogenous manifolds).

After passing the course successfully the student

• can recognize different isomorphic versions of Lie groups
  
• knows the abstract version of concepts such as the tangent space and derivative
• can apply central results of the theory such as the exponential and logarithm functions
• can connect to each other properties of Lie groups and Lie algebras
• knows how these results are used e.g. in the construction of representations and the classification of Lie groups

Introduction to manifolds