Grundthema Algebra: Quivers, Algebras and Representations

Lecture course (advanced master students or PhD students),
winter semester 2015/16, 621.800


4h per week, Wednesdays (SR 11.35) 11:15-12:45 and Fridays (SR 11.33), 13:15-14:45 or 12:15-13:45 (from 27.11.2015)
Start: October 7, 2015

Contents:

Chapters I-IV in the book
Elements of the Representation Theory of Associative Algebras Part 1: Techniques of Representation Theory,
by I.Assem, D. Simson and A. Skowronski (LMS Student Texts 65)

  • Algebras and modules
  • Quivers and algebras
  • Representations and modules
  • Auslander-Reiten theory
    • Time permitted, we will also discuss tilting theory.

    Further literature

  • M.Auslander-I.Reiten-S. Smalo Representation Theory of Artin Algebras
  • Michael Barot, Introduction to the representation theory of algebras pre-publication version available at http://www.uni-graz.at/~baurk/lehre/Vorlesung-ws11.html
  • Bill Crawley-Boevey: Lectures on Representations of Quivers , see http://www1.maths.leeds.ac.uk/~pmtwc/quivlecs.pdf
  • Ralf Schiffler, Quiver representations (available electronically from the library)
    • The books by Barot and by Schiffler are gentle introductions.