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Representation Theory Of Finite Groups

Key information

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Module description


The basic definitions and standard properties of linear representations of finite groups over the complex numbers (in particular Schur’s lemma and Maschke’s theorem). The relation between representations and characters, the orthogonality relations and other fundamental properties of characters and character tables. Application of the above results to performing explicit calculations for groups of small order.


Before taking this module you are advised to take Introduction to Algebra(4CCM121A or 5CCM121B), Linear Algebra and Geometry II, Groups and Symmetries (5CCM232A or 6CCM232B).

Assessment details

Written examination.

Educational aims & objectives

The aim of this module is to develop the basic theory of linear representations and characters of finite groups over the complex numbers

Teaching pattern

Three hours of lectures and one hour of tutorial per week throughout the term

Suggested reading list

Indicative reading list - link to Leganto system where you can search with module code for lists

Module description disclaimer

King’s College London reviews the modules offered on a regular basis to provide up-to-date, innovative and relevant programmes of study. Therefore, modules offered may change. We suggest you keep an eye on the course finder on our website for updates.

Please note that modules with a practical component will be capped due to educational requirements, which may mean that we cannot guarantee a place to all students who elect to study this module.

Please note that the module descriptions above are related to the current academic year and are subject to change.