 List of representation theory topics

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces. This field has applications in various areas, including physics, chemistry, and computer science. Below is a list of key topics typically covered in the study of representation theory: 1. **Basic Concepts**: - Groups, Representations, and Homomorphisms - Vector Spaces and Linear Transformations - Characteristic Polynomials and Eigenvalues 2.