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Operator algebraAbelian varietyAlgebra over a fieldOrthogonal complementSymmetric groupAssociative algebraComposition algebraAlgebra homomorphismBounded setHamiltonian vector fieldMultilinear formMonoidContinuous linear operatorBialgebraSemisimple lie algebraClifford algebraAlgebraic groupPower-associative algebraGraded ringSemigroupSumsetCommutative algebraPovmNormal operatorCommutator subgroupOrthogonal functionsLinear independenceCommutantGrothendieck groupAbelian categoryEquivariant cohomologyTopological vector spaceSequence spaceFunctional analysisBanach spaceFunctional calculusProjectionPositive linear functionalSic-povmBanach algebraBounded operatorInvariant theoryIncidence algebraAlternative algebraFinitely generated abelian groupAffine groupSymmetric algebraCompact operatorCofree coalgebraAlgebraic subvarietyAlgebraic closureAbelian algebraElementary abelian groupFree abelian groupAbelianizationOperator theoryStatePermutation groupIntegrally closed domainLinear algebraic groupOrthogonal basisHecke algebraDistributionIntegral domainLie algebraNormFunctionalModuleMonomorphismCongruenceCohomologyLinear subspaceCenterHolomorphic vector bundleG-moduleHermitian adjointLinear spanAlgebraic integerNormal subgroupHarmonic polynomialConvex combinationHilbert's basis theoremStructureCommutative ringGenerating set of a groupMatrix ringCartan subalgebraChain complexHomological algebraGroup actionTorsion subgroupInclusion functionIsogenyReproducing kernel hilbert spaceLinear relationFree monoidSpecial linear lie algebraSymplectic vector spaceRepresentation of a lie groupProjection-valued measure