KnowraGroup representationLinked fromLinked fromThe 20 pages that link to Group representation, each with the reason it gives.All 20Broader topic 3Related 11Narrower topic 6Group actionRelated: It is the linear-algebraic counterpart, where the acted-on set is a vector space and maps are linear.Gauge symmetryRelated: Matter fields transform under representations of a gauge group.Representation theoryBroader topic: This is the standard way representation theory converts group multiplication into composition of linear maps.Spherical harmonicsRelated: Rotations mix harmonics of the same degree according to representations of the rotation group.Group homomorphismBroader topic: Representations turn abstract group operations into transformations of vector spaces.Identity politicsRelated: Identity-based claims can reshape debates about whose voices institutions should include.Abstract algebraBroader topic: Representations convert abstract symmetry into matrices that can be calculated with.Symmetry groupRelated: Representations turn abstract symmetries into matrices that can be calculated and compared.Natural transformationRelated: Intertwining maps between representations are natural transformations in functorial formulations of representation theory.Irreducible representationNarrower topic: Irreducibility is a property of group representations and their invariant subspaces.Character theoryNarrower topic: Character theory extracts trace-valued functions from these homomorphisms.Ferdinand Georg FrobeniusRelated: Frobenius studied groups through their actions on vector spaces.Richard BrauerRelated: Group representations were the main objects Brauer analyzed and classified.Fourier analysis on finite groupsNarrower topic: Representations supply the matrix-valued frequencies used to decompose functions on nonabelian groups.Permutation matrixRelated: The assignment from permutations to permutation matrices preserves composition.Adjoint representationNarrower topic: The adjoint representation is a canonical representation built from the group itself.Maschke's theoremNarrower topic: Maschke's theorem concerns finite-dimensional representations of finite groups.Schur's lemmaNarrower topic: Schur's lemma applies to maps between representations of the same group.Symmetry in quantum mechanicsRelated: Representations specify how each symmetry acts on quantum states.Symmetry-based models (mathematical physics)Related: Representations specify how symmetry transformations act on physical states and fields.
KnowraGroup representationLinked fromLinked fromThe 20 pages that link to Group representation, each with the reason it gives.All 20Broader topic 3Related 11Narrower topic 6Group actionRelated: It is the linear-algebraic counterpart, where the acted-on set is a vector space and maps are linear.Gauge symmetryRelated: Matter fields transform under representations of a gauge group.Representation theoryBroader topic: This is the standard way representation theory converts group multiplication into composition of linear maps.Spherical harmonicsRelated: Rotations mix harmonics of the same degree according to representations of the rotation group.Group homomorphismBroader topic: Representations turn abstract group operations into transformations of vector spaces.Identity politicsRelated: Identity-based claims can reshape debates about whose voices institutions should include.Abstract algebraBroader topic: Representations convert abstract symmetry into matrices that can be calculated with.Symmetry groupRelated: Representations turn abstract symmetries into matrices that can be calculated and compared.Natural transformationRelated: Intertwining maps between representations are natural transformations in functorial formulations of representation theory.Irreducible representationNarrower topic: Irreducibility is a property of group representations and their invariant subspaces.Character theoryNarrower topic: Character theory extracts trace-valued functions from these homomorphisms.Ferdinand Georg FrobeniusRelated: Frobenius studied groups through their actions on vector spaces.Richard BrauerRelated: Group representations were the main objects Brauer analyzed and classified.Fourier analysis on finite groupsNarrower topic: Representations supply the matrix-valued frequencies used to decompose functions on nonabelian groups.Permutation matrixRelated: The assignment from permutations to permutation matrices preserves composition.Adjoint representationNarrower topic: The adjoint representation is a canonical representation built from the group itself.Maschke's theoremNarrower topic: Maschke's theorem concerns finite-dimensional representations of finite groups.Schur's lemmaNarrower topic: Schur's lemma applies to maps between representations of the same group.Symmetry in quantum mechanicsRelated: Representations specify how each symmetry acts on quantum states.Symmetry-based models (mathematical physics)Related: Representations specify how symmetry transformations act on physical states and fields.