MAU34103 - Lie algebras and Lie groups
Course Information
Lecturer: Adam KeilthyAssessment: 15% homework assignments, 85% final exam.
The course will not follow any particular textbook, but students may find the following options helpful. Be aware that most of these contain far more than we can realistically hope to cover in this course.
- Introduction to Lie Groups and Lie Algebras, by A. Kirillov Jr.
- Lie Algebras and Lie Groups, by Serre
- Lie Algebras, by Wan
Lecture notes
This section will be populated with notes from the lectures as the course goes on. Please report any errors or typos you find so that I can correct them quickly.The current (essentially complete) lecture notes can be found here.
Homework problems
You must submit your homework assignments before the deadline, preferably via Blackboard. You are also welcome to submit a physical copy after a lectureWhere possible, please submit your assignment as a single PDF file, with your name in the filename, e.g. adam_keilthy_LAHW1.pdf or similar. Please also ensure that your name is visible on the first page of the assignment.
I encourage you to typeset your work in LaTeX. Doing so will increase your mark by 10% (but it will still be capped at 100/100). A rough template that does not reflect best practice or prettiest practice can be found here.
The solutions will be made available immediately after the deadline, so late submissions cannot be accepted
| Exercise sheet | Due date | Solutions | |
|---|---|---|---|
| Sheet 1 | Friday October 2nd, 23:59 | Solutions 1 | |
| Sheet 2 | Friday October 16th, 23:59 | Solutions 2 | Optional Solution |
| Sheet 3 | Friday November 6th, 23:59 | Solutions 3 | |
| Sheet 4 | Friday November 20th, 23:59 | Solutions 4 | |
| Sheet 5 | Friday November 27th, 23:59 | Solutions 5 |
Sheets will be released approximately two weeks prior to the deadline.
A note about tutorials
There are currently no planned tutorials, but if there is demand and time, some lectures may function as tutorials. Nevertheless, the following practice sheets may be useful sources of additional problems.| Practice sheet | Solutions |
|---|---|
| Sheet 1 | Solutions 1 |
| Sheet 2 | Solutions 2 |
| Sheet 3 | Solutions 3 |
| Sheet 4 | Solutions 4 |
Sample Exams
Below are two sample exams, which will be updated with complete solutions for one of them. The actual exam will be the same format. Be aware that some of the questions in these sample exams are more time consuming than is reasonable for an actual examSample exam 1 and eventually its solutions
Sample exam 2