Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the concept of subrepresentations of the regular representation in group theory, focusing on cyclic modules, simple modules, and homomorphisms. It explains how to define subrepresentations and their properties, emphasizing the regular representation of a group. The instructor demonstrates the isomorphism between subrepresentations and provides proofs using linear group theory. Additionally, the lecture discusses stable subspaces and their role in generating representations.