Math 4140/5140
Abstract Algebra II


Spring 2022


  • Instructor Information
    Instructor: Tianyuan Xu (Eddy) Email: tianyuan.xu@colorado.edu
    Office: Math. Building, Room 202 Office Hours: Zoom appointments
  • Grading Scheme
    For 4140 students:
    Homework 30%
    Midterm 30%
    Final Exam 40%
    For 5140 students:
    Homework 25%
    Midterm 25%
    Final Exam 35%
    Independent Project (see instructions here) 15%
    The

  • Course Description

    This course is an introduction to representation theory of algebras, with an emphasis on group algebras, path algebras of quivers, and their representations. Topics we will cover include composition series, the Jordan–Hölder Theorem, semisimple algebras, Jacobson radicals, the Artin–Wedderburn Theorem, Maschke's Theorem, and the Krull–Schmidt Theorem.

  • Recommended Text

    Algebras and Representation Theory, by Karin Erdmann and Thorsten Holm.