Basic knowledge of analysis, topology and group theory.
Basic knowledge from the theory of differentiable manifolds: notion of smooth manifold, tangent spaces, vector field as in
John M. Lee, Introduction to Smooth Manifolds:
Chapter 1, Smooth Manifolds (pp 1-24);
Chapter 2, Smooth Maps (pp 31-37, 49 - 55);
Chapter 3, Tangent vectors (pp. 60-73,75 - 78);
Chapter 4, Vector fields (pp. 81-92).
The aim of this course is to give a thorough introduction to the theory of Lie groups and algebras.
Maarten Solleveld (Radboud Universiteit Nijmegen)
Assistant: Teun van Nuland (PhD student in Nijmegen)
- Docent: Maarten Solleveld