Department of Mathematics

Introduction to Lie Groups

Please note that this page is old.
Check in the VVZ for a current information.

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. Manfred Einsiedler
Assistant: Manuel Luethi


On Tuesdays, every second week: 10.00-12.00 a.m. at HG D 5.2, starting on 15.09.2015
On Thursdays: 10.00-12.00 a.m. at HG D 3.2.


On Tuesdays, every second week: 10.00-12.00 a.m. at HG D 5.2, starting on 22.09.2015.
Exercise sheets will be published on taskbase as the course progresses. The exercises will be solved in class during the exercise sessions. The exercises will be an integral part of the material tested in the exam.
There is a box in room J 68 where you can submit your own solutions with specific questions if you want somebody to have a look at them.

Please find below solutions to selected exercises:
Sheet 1
Sheet 2
Sheet 3
Sheet 4
Sheet 5
Sheet 6


Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information

© 2016 Mathematics Department | Imprint | Disclaimer | 5 March 2016