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Lie AlgebraPainleve EquationDifferential EquationsSeparation of VariablesHamiltonian SystemsModuli SpaceNoncommutative GeometryDifferential OperatorsRepresentation TheoryField TheoryQuantum Field TheoryDifference EquationsMirror SymmetryScalar CurvatureQuantum GravityYang-Baxter EquationExplicit FormulasGeometryConstant CurvatureHopf Algebra