## Lectures in Representation Theory

Last update: 12 August 2013

The following are useful references:

• Curtis and Reiner’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.