MathematicsSpecializedMTH-REPTH-357
Group Actions & Modules
representations, invariant subspaces, irreducibility
- Difficulty
- 5 / 5
- Importance
- 4 / 5
- Study time
- 9.5–16.5 h
- Kind of work
- Theory
Why it matters
Studies groups through their actions on vector spaces; the framework for symmetries in particle physics and quantum mechanics.
Where it is used
Particle classification (standard model), quantum chemistry, crystallography, signal symmetries, machine learning equivariance.
How you know you have learned it
Explain/derive key result from memory + solve 2 non-routine checks.
Resources
- Representation Theory (Fulton & Harris) — Fulton & Harris Book