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Adjoint representationDifferential invariantLie algebra representationRegular representationGroup actionMultilinear formFundamental representationDerivative of the exponential mapLinear algebraic groupLie groupCartan decompositionProjectionTensor product of representationsProjective representationTransformation matrixLinear systemLie algebra extensionAlgebra over a fieldSpecial unitary groupCoordinate vectorLie algebraOrthogonal functionsFormal group lawReductive groupRotation matrixGroup representationLinear relationAffine groupProjective linear groupAlgebraic groupCharacter groupLinear approximationComplex lie groupSpecial linear lie algebraRepresentationContinuous linear operatorClosed-subgroup theoremMatrix analysisMapping class groupLie's third theoremFaithful representationAlgebra homomorphismPiecewise linear manifoldCoefficient matrixSemigroupClifford algebraHamiltonian vector fieldLinear groupPolarizationGroup extensionMatrix decompositionEquivariant cohomologyTime dependent vector fieldRepresentation theoryInvariant theoryLattice of subgroupsOrthogonalitySymplectomorphismMultilinear mapSystem of linear equationsLength functionModular groupOperator theoryBilinear mapOuter productGroup schemeFrameIndefinite orthogonal groupExponential mapHomomorphismCartesian tensorBilinear formGeneral linear groupTensor fieldPin groupConnectorFundamental groupoidKleinian groupGroup of lie typeMatrix normGraded lie algebraCongruence subgroupOrthogonal basisGeometric transformationMatroidSpecial linear groupTriangle groupLinear mapLine bundleGraph theoryCharacter theoryLinear inequalityParametric equationSymplectic vector spaceLatticeDifferential operatorCausal structureGroup theoryCotangent complexLinearization