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Lie derivativeCartan decompositionKoszul complexLorentz spaceOperator theoryDarboux's theoremLagrange's identityCategory theorySchubert calculusDifferential invariantLie algebra representationDifferential formClosed-subgroup theoremElliptic integralLiouville field theoryHistory of calculusMathematicsExterior algebraLie algebra extensionAlgebraic combinatoricsKilling formLaplace's equationClass field theoryAlgebraic number theorySpecial values of l-functionsRepresentation of a lie groupDynamical systems theoryLax pairLegendre transformationAlgebraic analysisSingular integralDifferentialSchur decompositionRiemann sphereFrobenius methodHilbert spaceLie algebraGauge theoryEuler's formulaSymplectic geometryCalculusIntersection theoryIntegralD'alembert's equationMagnus expansionTime-scale calculusTangent spaceTheorema egregiumHistory of lorentz transformationsIndefinite orthogonal groupRamanujan's master theoremLie groupCantor's first set theory articleCylindric algebraControversy over cantor's theoryGeometric topologyMatrix analysisLie's third theoremEuler's theoremDifferential topologyDifferential geometry of surfacesDirichlet's unit theoremHomogeneous coordinatesLeibniz integral ruleLeibniz formula for determinantsLandau theoryGlobal analysisRiemann integralCalculus on euclidean spaceLanglands programAlexander dualitySelberg trace formulaHodge theoryDirac equation in curved spacetimeSchur multiplierPartial differential equationLineLebesgue measureAdjoint representationHistory of general relativityLinear differential equationDifferentiable curveSerre spectral sequenceHelmholtz decompositionBiharmonic equationSesquilinear formHilbert's fifth problemEuclidean geometryDirichlet kernelMeijer g-functionSpecial unitary groupPoisson algebraHopf fibrationAnalytic number theoryLegendre functionCoarea formulaRepresentation theoryGeometric measure theoryGeometric calculusArtin l-function