KnowraRepresentation theoryLinked fromLinked fromThe 30 pages that link to Representation theory, each with the reason it gives.All 30Related 17Narrower topic 12Compared with 1Invariant theoryNarrower topic: Linear representations turn group actions into matrices acting on polynomial spaces.Richard BrauerNarrower topic: Brauer’s research made representations a central tool for studying finite groups.Jordan decompositionNarrower topic: Representations turn group and algebra elements into operators to which the decomposition applies.Jordan–Chevalley decompositionNarrower topic: The decomposition helps analyze operators arising from representations of groups and algebras.Peter–Weyl theoremNarrower topic: The theorem is a landmark result linking representations to function spaces.Robert LanglandsNarrower topic: It supplies the language for translating arithmetic symmetries into linear algebra.Symmetry in quantum mechanicsNarrower topic: It is the broader mathematical discipline behind symmetry-based state classification.Ado's theoremNarrower topic: Ado's theorem is an existence result at the foundation of this field.Ngô Bảo ChâuNarrower topic: Representations provide one side of the correspondences that motivate the lemma.Wedderburn–Artin theoremNarrower topic: Semisimple ring decompositions reduce representations to simple components.Algebraic combinatoricsNarrower topic: It provides a central toolkit for translating combinatorial symmetry into linear algebra.Capelli identityNarrower topic: The identity supplies operator relations useful in studying representations of general linear groups.