Algebras and Representation Theory

Content

Please log in to view module content:

Description

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

Assessment

This module is assessed in two assignments.

Prerequisities

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