Armin Shalile, An introduction to Brauer algebras.

We give an elementary introduction to Brauer algebras, covering the motivation to define them, their actual definition as a diagram algebra and some important properties. We will also discuss their cellularity. No previous knowledge of Brauer algebras will be assumed.

Armin Shalile, Brauer Characters for Brauer Algebras.

We define Brauer characters for Brauer algebras which share many of the features of Brauer characters defined for finite groups. Since notions such as conjugacy classes and orders of elements are not a priori meaningful for Brauer algebras, we show which structure replaces the conjugacy classes and determine eigenvalues associated to these.