KnowraPeter–Weyl theoremLinked fromLinked fromThe 2 pages that link to Peter–Weyl theorem, each with the reason it gives.All 2Related 2Irreducible representationRelated: It extends the role of irreducibles from finite groups to compact groups.Fourier analysis on finite groupsRelated: Its finite-group form guarantees that irreducible matrix coefficients provide a complete orthogonal expansion.