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Derivative of the exponential mapExponential mapLie algebra representationRepresentation of a lie groupFundamental representationCartan decompositionAdjoint representationLie's third theoremGroup extensionComplex lie groupSolvable groupGeometric algebraLie algebraMultilinear formLattice of subgroupsTangent spaceLie superalgebraGroup of lie typeHomomorphismGalois groupAlgebraic groupSemisimple lie algebraAffine groupFundamental groupClass field theoryLinear algebraic groupField extensionProduct categoryEquivariant cohomologyAlgebraic closureEnriched categoryTensor product of hilbert spacesPolarizationDifferential invariantProjectionGraph homologyInvariant theoryRepresentation theoryTensor product of representationsLatticeMultivariate laplace distributionAlgebra over a fieldDifferential graded algebraDirect product of groupsElementPushforwardGroup actionGraded lie algebraProjective representationSpecial linear lie algebraLevi decompositionLie groupIntersection theoryGroupoidPoisson manifoldGroup cohomologyLog structureF-algebraLogarithm of a matrixArithmetic groupProjective moduleDouble cosetConjugacy classAlgebraic number theoryMatrix ringPoisson algebraTranspose of a linear mapTensor product of fieldsSpecial unitary groupCovering groupDivisorTensor reshapingCohomologyRing theoryGroup isomorphismRepresentation theory of suIndefinite orthogonal groupComplexificationIsogenyAlgebra homomorphismClosed-subgroup theoremRelative homologyAlgebraic number fieldTensor productGalois cohomologyFrobenius algebraMonoidAlgebraic combinatoricsStructureHomological algebraFormal group lawCosetExterior algebraRegular representationIncidence algebraGeometric topologyMorphismLength functionCalculus on euclidean spaceBorel subgroup