Lecture

Subrepresentations of the regular representation

Description

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.

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