This course is an introduction to Lie algebras and their representations. We will follow a classic introductory book to this subject: Introduction to Lie Algebras and Representation Theory by J. Humphreys (you can find a list of corrections here).
Remark. Due to the current situation, we probably won't have lectures in the classical sense at the beginning. Instead, we will have an online course, managed in OpenOLAT. Here, you'll also find videos. We will start (almost) as planned on the 20th of April, with a getting-used-to-online-stuff phase the week before.
Schedule
| Week | Dates | Sections | Pages | Extra notes | Exercises |
|---|---|---|---|---|---|
| 01 | 20.04. – 26.04. | § 1+2 | pp. 1 – 9 | Here | Here |
| 02 | 27.04. – 03.05. | § 3+4 | pp. 10 – 20 | Here | Here |
| 03 | 04.05. – 10.05. | § 5+6 | pp. 21 – 30 | Here | Here |
| 04 | 11.05. – 17.05. | § 7+8 | pp. 31 – 40 | Here | |
| 05 | 18.05. – 24.05. | § 9+10 | pp. 42 – 54 | Here | |
| 06 | 25.05. – 31.05. | Break | |||
| 07 | 01.06. – 07.06. | § 11+12 | pp. 55 – 66 | Here | |
| 08 | 08.06. – 14.06. | § 13+14 | pp. 67 – 77 | Here | |
| 09 | 15.06. – 21.06. | § 15+16 | pp. 78 – 87 | Here | Here |
| 10 | 22.06. – 28.06. | § 17+18 | pp. 89 – 101 | Here | Here |
| 11 | 29.06. – 05.07. | § 19+20 | pp. 102 – 112 | Here | |
| 12 | 06.07. – 12.07. | § 21+22 | pp. 112 – 125 | Here | |
| 13 | 13.07. – 19.07. | § 23+24 | pp. 126 – 134 | Here |
Literature
- J. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer, 1972, 1997. Revisions.
- W. Fulton and J. Harris, Representation theory—a first course. Springer GTM, 1991.
- J. Fuchs and C. Schweigert, Symmetries, Lie Algebras and Representations, CUP, 1997. Errata.
- B. Hall, Lie Groups, Lie Algebras, and Representations, Springer GTM, 2003, 2015. Corrections.
- J. Humphreys, Representations of Semisimple Lie Algebras in the BGG Category O, AMS GSM, 2008.