Lectures in Representation Theory
Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au
Last update: 12 August 2013
The following are useful references:
 Curtis and Reinerâ€™s three volume work on the representation theory of associative rings and algebras
 Linear Representations of Finite Groups, Serre
 Representation Theory, Foulton and Harris
 Representation Theory of the Symmetric Group, Sagan
Outline
I. 
Basics

II. 
Classic Examples
A. 
The Symmetric Group

B. 
The Hecke Algebra

C. 
The Brauer algebras


III. 
Representation Theory of $\text{GL}\left(n\right),$
$\text{O}\left(n\right),$
$\text{Sp}\left(2n\right)$ and the quantum group
${U}_{q}\left(g\ell \left(n\right)\right)\text{.}$

Notes and References
This is a copy of lectures in Representation Theory given by Arun Ram, compiled by Tom Halverson, Rob Leduc and Mark McKinzie.
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