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Hodge structureHodge theoryBilinear mapHurewicz theoremIndefinite orthogonal groupConnectorSymmetric bilinear formBilinear formLinear formLinear mapHopf fibrationOrthogonal functionsSymplectic manifoldHilbert transformOrthogonal groupProjectionSelf-adjoint operatorSesquilinear formSymplectic vector spaceEuclidean topologyHessian matrixCross productLie algebraLegendre transformationHolomorphic vector bundleLogarithmic normAlgebraic torusGraph fourier transformHermitian connectionContinuous linear operatorSobolev spaceSchmidt decompositionInterior productOperator algebraLaplace operatorHamiltonian vector fieldSpecial linear groupC*-algebraAdjoint representationAlgebra over a fieldTranspose of a linear mapFrobenius algebraFrobenius inner productSqueeze mappingTensor productDiscrete laplace operatorPolarization identityStein manifoldHilbert symbolSchur decompositionDegenerate bilinear formSymplectic geometryHilbert spaceHyperbolaLie bracket of vector fieldsPseudo-euclidean spaceHermitian adjointSimple homotopy theoryHouseholder transformationQuasiconvex functionSelberg trace formulaHomographyGrassmannianExterior covariant derivativeAffine groupLie algebra representationSpectral graph theoryMultilinear formMinkowski spaceHausdorff measureConvex conjugateProjection-valued measureDual systemLaplacian matrixQuadricStrong operator topologyIsometry groupLinear differential equationSymmetric spaceEuclidean groupInteger latticeSpectrumRotation matrixCartan decompositionLog structureComposition algebraOrthonormal basisCalculus on euclidean spaceClifford algebraOrthogonal basisMetric tensorOrthogonal transformationSpecial linear lie algebraOrthogonalityOperatorBounded inverse theoremSeven-dimensional cross productCoordinate vectorHolomorphic functionOrthogonal diagonalization