The goal is to have a broad though foundational knowledge of the theory of Lie groups and their associated Lie algebras with an emphasis on the algebraic and topological aspects of it.
Topology and basic notions of measure theory. A basic understanding of the concepts of manifold, tangent space and vector field is useful, but could also be achieved throughout the semester.
Exercise sessions take place on Thursdays (every second week) in HG D 3.2 from 8.00 to 10.00. The first exercise session will be on the 27th of september.
The exercise sheet will be uploaded on this page every Tuesday before the exercise session. From that moment the student has to hand in the exercises in room J 68 within 9 days. The corrected exercises are left in the same room.
|Exercise Sheet||Due by||Solutions|
|Exercise sheet 1||Thursday 4/10/2018||Solution 1|
|Exercise sheet 2||Thursday 18/10/2018||Solution 2|
|Exercise sheet 3 ( VERSION UPDATED)||Thursday 1/11/2018||Solution 3|
|Exercise sheet 4||Thursday 15/11/2018||Solution 4|
|Exercise sheet 5||Thursday 29/11/2018||Solution 5|
|Exercise sheet 6||Thursday 13/12/2018||Solution 6|
The exam will consist of an oral examination of 30 minutes.
First part of the handwritten notes of the course: Introduction to Lie groups, notes by Marc Burger, first part. Second part of the handwritten notes of the course: Introduction to Lie groups, notes by Marc Burger, second part.For more references: