Irreducible Representation
★★★★☆Undergraduate
📖Definition
Representation with no nontrivial proper subrepresentations. Building blocks of representation theory
📐Formulas
Maschke: finite group, char=0 ⟹ completely reducible
Schur lemma: Hom(V,W) = 0 or isomorphism
✏️Examples
예제 1
1-dimensional representations
예제 2
S₃ 2-dim irreducible
⚡Applications
Classification
Quantum mechanics
Particle physics
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