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Introduction to Lie Groups

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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. Urs Lang
Assistant: Alexandru Sava

Lecture

On Tuesdays, every second week: 10.00-12.00 a.m. at HG G26.1, starting on 16.09.
On Thursdays: 10.00-12.00 a.m. at HG G26.1.

Exercises

On Tuesdays, every second week: 10.00-12.00 a.m. at HG G26.1, starting on 23.09.

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.

Homework_1
Solutions_Homework_1
Homework_2
Solutions_Homework_2
Homework_3
Solutions_Homework_3
Homework_4
Homework_5
Homework_6
Homework_7

 

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© 2016 Mathematics Department | Imprint | Disclaimer | 12 December 2014
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