Given the current situation, this revised syllabus reflects the change to online instruction for the second half of the semester.  Components of the syllabus that are directly affected have been written in red.

Lectures:  Mont 314, MWF 10:10-11:00. Now on HuskyCT. 

Instructor: Ralf Schiffler
Office: Mont 336
Office hours: MW 2:15-3:15 or by appointment. Now on HuskyCT.
Email: schiffler at math dot uconn dot edu

Description: This course is an introduction to the representation theory of associative algebras, also known as quiver representations. It will cover the following topics. Quivers and representations, projective representations, injective representations, Auslander-Reiten (AR) translation, AR quiver, knitting algorithm, combinatorial construction of the AR quiver, path algebras and their module categories, bound quiver algebras, AR theory, Gabriel’s theorem.

Prerequisites: MATH 5211

Text: Schiffler, Quiver Representations

Further reading:

Assem, Simson, Skowroński, Elements of the Representation Theory of Associative Algebras

Derksen, Weyman, An Introduction to Quiver Representations

Auslander, Reiten, Smalø, Representation Theory of Artin Algebras

Course Grade:   Two homework assignments and an in-class presentation. Topics for the presentations will be listed here. The in-class presentations are canceled.