Group Representation
★★★★☆Undergraduate
📖Definition
Homomorphism realizing group as group of invertible linear transformations on vector space
📐Formulas
ρ: G → GL(V)
ρ(gh) = ρ(g)ρ(h)
Degree = dim V
✏️Examples
예제 1
Cyclic group representations
예제 2
Symmetric group Sₙ
예제 3
Trivial representation
⚡Applications
Quantum mechanics
Chemistry
Physics
🔗Related Documents
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