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Qr decompositionCartan decompositionPolar decompositionBruhat decompositionLie algebra representationLevi decompositionSchur decompositionIndefinite orthogonal groupLu decompositionGroup representationAdjoint representationFrobenius normal formCholesky decompositionCharacteristic polynomialRank factorizationSemi-orthogonal matrixMatrix decompositionEigendecomposition of a matrixCommutation matrixSchmidt decompositionTensor rank decompositionKronecker productSpectral graph theoryOrthogonal matrixComplexificationSchur product theoremSelberg trace formulaMatrixLeibniz formula for determinantsHadamard matrixFunctional determinantLaplacian matrixOrthogonal diagonalizationTensor product of representationsSylvester's formulaGamma matricesLie algebraLaplace expansionMatrix exponentialHadamard's inequalityLinear groupSpectral theoryGeneralizations of pauli matricesOrthogonal groupHurwitz matrixCovariance matrixGraph fourier transformAnalytic function of a matrixQr algorithmConjugate transposeFundamental representationSpecial linear lie algebraSemigroup actionLinear algebraic groupCross productMatrix normal distributionLie bracket of vector fieldsMatrix sign functionSum of two squares theoremModular formResolvent formalismAlgebraic combinatoricsBlock lu decompositionCharacter tableHilbert matrixSpecial linear groupGeneral linear groupAffine groupSquare root of a matrixMaschke's theoremKilling formTensor product of hilbert spacesSesquilinear formQuadratic formTransfer matrixMatrix determinant lemmaMatrix pencilLatticeGram matrixFactorization of polynomialsSingular value decompositionComposition algebraDedekind zeta functionTensor productHigher-dimensional gamma matricesTraceSchur complementGeometric group theoryBilinear formSpectral theoremIsomorphism theoremsPower iterationTranspose of a linear mapStructure constantsMatrix ringArithmetic groupBiquaternionSingular valueMatrix splittingLie product formula