Algebras and Representation Theory


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Overview: Algebras & Representation Theory (semester 2)

Noncommutative rings (5 lectures)

  • Finitely generated modules over principal ideal domains and applications
  • The Artin-Wedderburn Theorem

Representation Theory (5 lectures)

  • Representations and characters
  • Orthogonality relations
  • Induced representations
  • Computing character tables

This module is assessed in two assignments.


The notion of a module and related concepts; Basics on Noetherian and Artinian modules; Some commutative algebra, in particular the notion of a principal ideal domain.

The Team

  • Lectures 1-5: Kostiantyn Tolmachov
  • Lectures 6-10: Adam Morgan