Department of Mathematics

Lie Groups I

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Contents: Topological groups and Haar measure. Definition of Lie groups, examples of local fields and examples of discrete subgroups; basic properties; Lie subgroups. Lie algebras and relation with Lie groups: exponential map, adjoint representation. Semisimplicity, nilpotency, solvability, compactness: Killing form, Lie's and Engel's theorems. Definition of algebraic groups and relation with Lie groups.

Lecturer: Prof. Dr. Marc Burger
Assistant: Stephan Tornier


On Tuesdays, every second week: 10.00-12.00 a.m. at HG E21, starting on 17.09.
On Thursdays: 10.00-12.00 a.m. at HG D5.2.


On Tuesdays, every second week: 10.00-12.00 a.m. at HG E33.5, starting on 24.09.

Exercise sheets will be published here as the course progresses, allowing the students to deepen their understanding of the theory. There will be no Testat condition.

Exercise Sheet 1
Exercise Sheet 2
Exercise Sheet 3
Exercise Sheet 4
Exercise Sheet 5
Exercise Sheet 6
Exercise Sheet 7


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