# Representation Theory

Canonical: https://manyspace.aporia.systems/subjects/mathematics/representation-theory-51
Updated: 2026-10-13

Representation Theory: about 57 hours. Each topic lists what you need first and what it unlocks.

## Representations of Finite Groups

- [Group Actions & Modules](https://manyspace.aporia.systems/topics/group-actions-modules-mth-repth-357)
- [Characters](https://manyspace.aporia.systems/topics/characters-mth-repth-358)
- [Induced Representations & Frobenius Reciprocity](https://manyspace.aporia.systems/topics/induced-representations-frobenius-reciprocity-mth-repth-359)

## Lie Theory & Applications

- [Representations of S_n and GL(n)](https://manyspace.aporia.systems/topics/representations-of-s-n-and-gl-n-mth-repth-360)
- [Lie Groups & Lie Algebras Representations Intro](https://manyspace.aporia.systems/topics/lie-groups-lie-algebras-representations-intro-mth-repth-361)
- [Applications to Physics](https://manyspace.aporia.systems/topics/applications-to-physics-mth-repth-362)