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Linear canonical transformationCanonical coordinatesHamiltonian vector fieldAction-angle coordinatesKamiltonianRotation matrixHamiltonian field theoryHamiltonian matrixCanonical mapHamiltonianLegendre transformationOrthogonal diagonalizationGeometric transformationGalilean transformationCovariant transformationSymplectic integratorCanonical commutation relationOrthogonal transformationOrthonormalizationProjectionIsometryConformal field theoryGauge theoryInvariant manifoldGenerating functionAlgebra homomorphismCanonical formGeneral covarianceExact diagonalizationCausal structureLorentz transformationEigendecomposition of a matrixEquations of motionModule homomorphismGivens rotationRigid transformationConformal geometryGroup actionCotangent complexFoldy-wouthuysen transformationConformal mappingEuclidean plane isometryProjective geometryEquivariant mapOrthogonalityLiouville's equationConformal groupInvariantMorphismSymmetryCanonical quantizationHilbert transformSymplectomorphismPoisson bracketEigendecompositionLinear transformationEuler's laws of motionRotational invarianceCommutation matrixLagrangian functionMultilinear formBessel functionEquation of motionSpin connectionLinear fractional transformationHomothetyHermitian connectionFunctional calculusTopological propertyContinuous linear operatorFrobenius normal formOrthogonalizationAffine groupConfiguration spaceConformal symmetryInvariant measureNatural isomorphismLinear systemLagrange's equationsMonotonic functionHomotopy theoryQuantum operationCentrosymmetric matrixNatural transformationJacobian matrix and determinantSemigroup homomorphismTransformation matrixProjection matrixPushforwardRepresentation of a lie groupSystem of linear equationsAssociated legendre polynomialsDirac bracketHomological algebraCovariantInverse scattering transformConvex conjugateRelativistic lagrangian mechanicsGeneralized coordinatesCellular homology