MA8205 Representation theory of algebras
For an overview over the content of the course, see the course description page.
Course style and schedule
This course is a guided reading course. That means that we meet once a week (Tuesdays at 10:15 for now, but we can adjust if this is not good for somebody), but it is expected that everybody reads the relevant parts of the content beforehand, so that we can go through it relatively quickly and identify what's problematic.
Course content
We are following the book "Elements of the Representation Theory of Associative Algebras, 1: Techniques of Representation Theory" by Assen, Simpson, and Skowronski, presumably form Chapter I to VII. Depending on time we might also look at representation infinite hereditary algebras.
Detailed plan so far:
| 12.01.-26.01. | Chapter 1 (Probably I.1 to I.5 are mostly repetition) |
| 26.01.-02.02. | Chapter 4 (start reading, see how it goes – maybe focus on 4.1 and 4.2 this week) |
| 02.02.-18.02. | Chapter 4 (rest) |
Guide
Steffen Oppermann, room 844, Sentralbygg II, Steffen [dot] Oppermann [at] math [dot] ntnu [dot] no
Literature
Maurice Auslander, Idun Reiten, and Sverre O. Smalø, Representation theory of Artin algebras, Cambridge Studies in Advanced Mathematics 36
Ibrahim Assem, Daniel Simson, and Andrzej Skowronski, Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory, London Mathematical Society Student Texts 65