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Abelian varietyGeometric group theoryComplexificationDivisible groupDual spaceCompact operator on hilbert spaceFrobenius algebraGroup representationCalculus on euclidean spaceGrothendieck groupAffine groupOrthogonal groupLocally compact abelian groupClass field theoryAutomorphism groupCircle groupClassical groupCompact groupFundamental groupAlgebraic torusCartan decompositionProjective linear groupSpecial linear groupFrobenius endomorphismCohomologyIndefinite orthogonal groupAutomorphic formEuclidean groupTopological groupLie's third theoremArithmetic groupLatticeEuclidean domainNoncommutative geometryPrimary decompositionLefschetz fixed-point theoremDistributionGenerating set of a groupEquivariant cohomologyHilbert spaceComplemented subspaceIsometry groupCoproductComplex lie groupModular formP-adic hodge theoryDe rham cohomologyGroup of lie typeSymmetric spaceCauchy's integral theoremLocal systemFundamental group schemeAlgebraic combinatoricsIdeal class groupFunctional determinantReflexive spaceComplex numberSpin representationModularity theoremBott periodicity theoremBanach algebraSelberg trace formulaOrder topologyFractional fourier transformModular groupDisjoint unionChain complexFrobenius normal formModular curveAdjoint representationModulusTangent spaceHolomorphic functionGeometry and topologyGalois groupAlgebraic number fieldHilbert symbolDiscrete fourier transformFinitely generated abelian groupPicard groupDerived algebraic geometryHopf fibrationNoncommutative algebraic geometryDifferential algebraFundamental representationPerfect groupRiemannian geometryPower diagramLinear algebraic groupFoliationTime-scale calculusPolynomial ringAlgebraic analysisDirichlet's approximation theoremFinitely generated algebraSequence spaceCotangent bundleFinitely generated groupIsogenyTorsion subgroup