Course Plan for Representation Theory of Associative Algebras

The following course plan is preliminary.

Lecture Date Topic Hand in Problem set
1 April 17 Introduction
2 April 24 Semi-simple algebras and the Jacobson radical
3 May 1 Quiver representations
4 May 15 Structure of modules
5 May 22 Morita theory 1
6 May 29 The quiver of a finite dimensional algebra
7 June 5 Almost split sequences
8 June 12 Irreducible morphisms 2
9 June 19 Dual and transpose
10 June 26 Cancelled
11 July 3 Some homological algebra 3
12 July 10 The Auslander-Reiten formulas
13 July 17 The existence of almost split sequences
14 July 24 Calculating Auslander-Reiten quivers
15 July 31 Hereditary algebras 4