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Spin representationSpecial linear lie algebraSpecial unitary groupSpecial linear groupIndefinite orthogonal groupMetaplectic groupCovering groupTriangle groupCartan decompositionLattice of subgroupsExact coverAffine groupLie's third theoremArithmetic groupIsometry groupDouble cosetDerivative of the exponential mapConjugacy classPermutation groupOrthogonal polynomialsSymmetric spaceLattice pathExact sequenceGeneral linear groupEuclidean groupLinear algebraic groupSymmetric groupRepresentation of a lie groupExponential sheaf sequenceCayley's theoremAdjoint representationCongruence subgroupSelberg trace formulaSchwarz's listKleinian groupLie algebra extensionOrthogonal groupFibonacci numberExact functorModular groupGroup actionPin groupSpin structureConformal symmetryTelescoping seriesHermitian adjointClosed-subgroup theoremFundamental groupFundamental representationExponential mapCohomologyRegular representationOsculating planeKlein four-groupComplex lie groupComposition algebraChain complexGroup extensionGroup of lie typeSymmetry groupAlgebraic groupPrincipal bundleProjective unitary groupConformal groupPolycyclic groupAlgebraic topologyGalois groupGenerating set of a groupComplementIsogenyLinear groupCompact groupSemisimple lie algebraBraid groupNormLie algebra representation3d rotation groupPermutation graphSplitting lemmaTorsion groupLefschetz fixed-point theoremNon-abelian groupDihedral groupLie algebraSpin connectionGroup homomorphismDual systemCommutator subgroupSimplicial homologyGroupFormal group lawLegendre functionCompositionDirichlet's approximation theoremLorentz groupLength functionDual spacePoisson algebraFundamental group schemeNormal subgroup