Representation Theory 1. Algebra I and II are prerequisites and Group Theory is a good accompaniment which is best taken first or concurrently.
Group theory has many applications in science, especially in physics and crystallography.
Most of these applications are realised via representation theory. This course provides an introduction to the main ideas and notions of this powerful theory, explains some the machinery and formulates its basic results. Representation Theory demonstrates the enormous power of linear algebra and builds upon what students have learned at level 1 and 2 in Pure Mathematics I and II and Algebra I and II . Essentially, this topic is a symbiosis of group theory and linear algebra. This feature is important for understanding mathematics as a whole rather than as a union of disjoint theories.