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Representation of a lie groupGroup schemeSemidirect productAlgebraic groupGroup extensionGroup actionLinear fractional transformationDerivative of the exponential mapLinear algebraic groupClosed-subgroup theoremDirect product of groupsSemigroupGroup of lie typeSpecial unitary groupLength functionParametric equationTensor product of representationsDerivationCotangent complexDifferential invariantFormal derivativePoisson algebraLie groupCartan decompositionComplex lie groupCharacter groupPolynomial expansionFunctional calculusReductive groupProduct of group subsetsCentral seriesAdjoint representationQuasigroupCongruence subgroupLattice of subgroupsCharacter theoryArithmetic groupTriangle groupGroup isomorphismGroup theoryCommutator subgroupLinear approximationAlgebra over a fieldLie algebra extensionGenerating functionNormClass functionGeometric transformationAffine groupFundamental representationLie's third theoremSesquilinear formCosetGraded lie algebraAlgebra homomorphismGroup with operatorsGeometric seriesGroup cohomologyLinear groupProbability-generating functionTorsion groupSimple lie groupFunction compositionExponential mapAnalytic functionFormulaRepresentationDifferential operatorLie algebra representationPartial differential equationGeneralized conicQuasiperiodic functionMathematical theoryMultinomial theoremSeriesMultilinear formPermutation groupComposition seriesGroupoidMapping class groupSymmetry groupRegular representationSymmetric groupOne-parameter groupRecurrence relationEquivariant cohomologyInvariant theoryDistributive propertyLie superalgebraImplicit functionAlgebraic fractionEquationPartial functionMatrix decompositionOperator product expansionCompact groupComponentLinear systemComposition algebraHomomorphism