KnowraIrreducible representationLinked fromLinked fromThe 11 pages that link to Irreducible representation, each with the reason it gives.All 11Broader topic 7Related 4Representation theoryBroader topic: Irreducibles are the basic pieces into which many representations can be decomposed.Group representationBroader topic: Irreducibility identifies representations that cannot be decomposed further.Character theoryBroader topic: Irreducible representations supply the basic characters from which finite-dimensional representations decompose.Fourier analysis on finite groupsBroader topic: Irreducible representations are the indivisible frequency components in the finite-group transform.Maschke's theoremBroader topic: Complete reducibility means decomposing a representation into these indivisible pieces.Schur's lemmaBroader topic: Irreducibility forces every nonzero intertwining map to have trivial kernel and full image.Peter–Weyl theoremBroader topic: Only irreducibles are needed to build the theorem’s coefficient functions.