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Poisson algebraLie bracket of vector fieldsLie algebraSymplectic manifoldLie algebra representationSpecial linear lie algebraIdealPoisson bracketSpin structureComplex lie groupHermitian connectionAffine connectionSubmanifoldCotangent bundleHolomorphic vector bundleDifferential geometry of surfacesLie algebra extensionPoisson kernelDirac bracketIndefinite orthogonal groupRiemannian geometryAdjoint representationLefschetz hyperplane theoremBilinear formLocal diffeomorphismDistributionSymplectic geometryLinear differential equationContact geometryHarmonic mapDifferential invariantMultilinear formRiemannian manifoldCartan decompositionIsometry groupComposition algebraHermitian adjointLie's third theoremMorphism of algebraic varietiesPoisson summation formulaSobolev spaceTensor productDirac equation in curved spacetimeGraded lie algebraBilinear mapMusical isomorphismSymplectomorphismEuclidean topologyExponential mapHolonomic basisIsometryMetric tensorTangent bundlePositive linear functionalProjectionFinite morphismPushforwardConnectorCongruenceBanach latticeLinear algebraic groupFirst fundamental formSymmetric bilinear formDual spaceAdjunction formulaLax pairLefschetz fixed-point theoremConvex conjugateDerivative of the exponential mapDifferential structureSymplectic vector spaceRepresentation of a lie groupMeasurable functionMonoidFinsler manifoldPiecewise linear manifoldExterior covariant derivativeDifferential topologyOrthogonal functionsDual systemLie derivativeConformal symmetryLatticeSymmetric spaceSecond fundamental formLiouville field theoryAffine groupCalculus on euclidean spaceTransversalityFisher information metricAlgebraic elementOrthogonal groupFukaya categoryIsogenyInvariant manifoldEuclidean groupLaplace operatorGraph of a functionDarboux's theoremModuli space