# Representation theory

Representation theory (which physicists and chemists sometimes just call Group theory) is the study of how groups $$G$$ act on vector spaces $$V$$. A central idea in mathematics is that, because linear algebra is so easy (compared to other parts of math), we should always try to extract linear algebra from any situation we can, and representation theory is a standard tool to apply when extracting linear algebra from a situation involving a Group action.