# 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