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Tensor contractionTensor reshapingTensor algebraTensor product of representationsDyadicsCartesian tensorTensor product of modulesTensor fieldTensor operatorTensor calculusMatrix decompositionSchmidt decompositionTensor product of fieldsTensor productMultilinear formOperator algebraCartan decompositionMultilinear mapCoordinate vectorSchur decompositionStructure tensorMatrix splittingCommutation matrixEigendecomposition of a matrixOrthogonal transformationProjectionTranspose of a linear mapTensor rank decompositionCoefficient matrixAdjoint representationLie algebra representationTensor product of hilbert spacesLinear relationAlgebra over a fieldTensor densityRotation matrixRepresentation of a lie groupTopological tensor productScalar multiplicationOrthogonal diagonalizationMultiplication of vectorsOrthogonalizationContinuous linear operatorMultilinear polynomialLinear algebraic groupGeometric transformationMatrix multiplicationComposition seriesAffine groupMultiplication tableLinear mapRank factorizationBilinear mapTucker decompositionLu decompositionGeometric algebraBilinear formTensorMatrix calculusClifford algebraGraded vector spaceTime dependent vector fieldLie algebraCovariant transformationInvariants of tensorsPolynomial matrixComposition algebraOperator theorySemigroupShear matrixPartial differential equationStructure constantsMatrix ringMatroidMatrix analysisBlock lu decompositionSystem of linear equationsOrthogonal basisOrthogonal functionsMetric tensorTraceMatrixGroup schemeGenerating function transformationOperatorDifferential operatorOrthogonal matrixTransposeMulti-index notationSymmetric groupSingular value decompositionQuantum operationMonoidal categoryAbstract index notationChange of basisRepresentation theoryLie algebra extensionSpecial linear lie algebraGeneral linear groupRicci calculus