Character Theory
★★★★☆Undergraduate
📖Definition
Study of representations through trace (diagonal sum) of matrices
📐Formulas
χ_V(g) = tr(ρ(g))
Orthogonality: ⟨χ_V, χ_W⟩ = δ_V,W
Character table
Regular rep decomposition
✏️Examples
예제 1
Character table of S₃
예제 2
Characters of cyclic groups
⚡Applications
Representation classification
Molecular symmetry
Burnside theorem
🔗Related Documents
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