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Group theoryAlgebraic groupQuantum field theoryTopological quantum field theoryGroup extensionNoncommutative geometryGeometric quantizationGeneralizations of pauli matricesQuantum topologyGroup cohomologyQuasigroupLorentz groupGroupoidSemigroupCartan decompositionAlgebraic number theoryQuantum numberQuantum spacetimeQuantum complexity theoryQuantum operationQuantum chaosGroup schemeGalois groupClifford gatesInvariant theoryQuantum stateMapping class groupGeneratorLinear algebraic groupDouble cosetPerturbation theoryRepresentation of a lie groupF-algebraInfinite groupComponentComplex geometryQuantum materialsCommutator subgroupNon-euclidean geometryPin groupLinear groupQuantum geometryArithmetic groupSpace groupConfiguration spaceGroup actionGraph theoryCoreTensor operatorHistory of quaternionsGroup with operatorsCluster stateAnticommutative propertyTorsion groupFundamental groupoidCosetHigher-dimensional algebraApplications of quantum mechanicsMathematical sciencesGeneral topologyPath integral formulationClass field theoryGeometric graph theoryParametric equationNonlinear algebraEquivariant cohomologyQuantum mechanicsSupersymmetry algebraMaximal subgroupSpecial unitary groupLattice of subgroupsQuadratic integerGauge theoryGroup of lie typeGraph homologyNon-abelian groupSpectral theoryCharacter groupQuantum phase transitionRelativistic quantum mechanicsIntersection theoryQuantum computingPseudo-euclidean spaceHypercomplex numberOutline of algebraic structuresKleinian groupQuantum neural networkCongruence subgroupHomological algebraComplex lie groupStructuralismGalois cohomologyCayley graphGeometric measure theoryUniversal algebraIntroduction to quantum mechanicsFundamental groupLie algebra extensionAdjoint representationSpectral triple