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On modular representations of GL_2(L) for unramified L

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On modular representations of GL_2(L) for unramified L
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26
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Let p be a prime number and L a finite unramified extension of Q_p. We give a survey of past and new results on smooth admissible representations of GL_2(L) that appear in mod p cohomology.
MathematicsColor confinementGrothendieck, AlexanderRamificationContent (media)TheoremCharacteristic polynomialQuaternionenalgebraInfinityGroup representationComplete metric spaceInteger factorizationProjective planeGlattheit <Mathematik>Algebraic varietySubgroupCompact spaceHelmholtz decompositionProduct (business)TensorMusical ensembleAlgebraSet theoryKörper <Algebra>Slide ruleGroup representationMereologyComplete metric spaceInteger factorizationSubgroupInfinityRepresentation theoryPrime numberGlattheit <Mathematik>FinitismusCharacteristic polynomialHecke operatorTheoremProof theoryResultantContent (media)Algebraic varietyRhombusReal numberGroup actionCondition numberScaling (geometry)Local ringMany-sorted logicHelmholtz decompositionWeightPoint (geometry)Eigenvalues and eigenvectorsTensorproduktGalois-FeldLimit (category theory)Gamma functionPresentation of a groupCoefficientProduct (business)CurveOpen setInductive reasoningRamificationModulformPrimality testCohomologyCompact spaceModule (mathematics)Different (Kate Ryan album)Correspondence (mathematics)Observational studyComputer animation
SubgroupGlattheit <Mathematik>InfinityGroup representationRamificationInteger factorizationStochastic kernel estimationOperator (mathematics)Hecke operatorBuildingTheoremHausdorff dimensionAlgebraIdeal (ethics)Group representationHelmholtz decompositionDimensional analysisGlattheit <Mathematik>FinitismusMatrix (mathematics)Point (geometry)Maxima and minimaStatistical hypothesis testingFlow separationCongruence subgroupSubgroupCompact spaceFrequencyLengthNetwork topologyInteger factorizationOperator (mathematics)Price indexDifferent (Kate Ryan album)Moment (mathematics)AdditionRhombusBuildingPredictabilityLinear subspaceMultiplicationPositional notationGamma functionOpen setResidual (numerical analysis)ResultantMultiplication signKörper <Algebra>Mathematical optimizationCondition numberDegree (graph theory)IntegerAsymptotic analysisLie groupVector spaceInvariant (mathematics)DivisorGroup actionReal numberAlgebraCircleEndliche GruppeMaximal idealReduction of orderTheoremKinematicsPrincipal ideal domainUniqueness quantificationHomomorphismusModulo (jargon)Computer animation
AlgebraIdeal (ethics)Iwasawa decompositionRamificationRhombusTheoremGroup representationMultiplizität <Mathematik>HypothesisEinbettung <Mathematik>SubgroupMoment of inertiaFundamental theorem of algebraReduction of orderRepresentation theoryFinitismusMultiplicationInvariant (mathematics)ResultantGamma functionFree groupTheoremProof theoryArithmetic meanEinbettung <Mathematik>Energy levelVotingPiHypothesisMaxima and minimaLengthMereologyDimensional analysisAlgebraInfinityWeightGroup representationMoment of inertiaFundamental theorem of algebraCondition numberCentralizer and normalizerState of matterHelmholtz decompositionGroup action1 (number)Stochastic kernel estimationFunctional (mathematics)RhombusMultiplication signPower (physics)Term (mathematics)Thermal expansionNumerical digitRight angleMany-sorted logicSubgroupMoment (mathematics)Bound state2 (number)Maximal idealProper mapFunktorCongruence subgroupSequenceLocal ringComputer animation
TheoremProof theoryRamificationExtension (kinesiology)Multiplizität <Mathematik>Hausdorff dimensionGroup representationInfinityBuildingRhombusIwasawa decompositionAlgebraIdeal (ethics)TheoremProof theoryDimensional analysisExtension (kinesiology)Stochastic kernel estimationGroup representationGamma functionFree groupMaximal idealMaxima and minimaAlgebraIdeal (ethics)Computer animation
Proof theoryTheoremExtension (kinesiology)Multiplizität <Mathematik>RamificationIwasawa decompositionAlgebraIdeal (ethics)Group representationInequality (mathematics)Compact spaceAbelian categoryEnvelope (mathematics)Projective planeInjektivitätCalculationChi-squared distributionAlgebraGroup representationProjective planeUniverse (mathematics)Envelope (mathematics)Compact spaceFree groupTheoremAlpha (investment)Dimensional analysisDreiecksmatrixStochastic kernel estimationSummierbarkeitCharacteristic polynomialProof theoryInvariant (mathematics)Positional notationAsymptotic analysisCubeResultantSubgroupModulo (jargon)Matrix (mathematics)Group actionDirection (geometry)Power (physics)Ring (mathematics)Maxima and minimaGlattheit <Mathematik>Ideal (ethics)Multiplication signCalculationDuality (mathematics)Category of beingGraded algebraSquare numberMaximal idealAbelsche GruppeQuotientGamma functionTensorSinc functionFraction (mathematics)Goodness of fitCommutatorInverse elementMusical ensembleFunctional (mathematics)PolynomialReal numberInequality (mathematics)Heat transferLogicLimit (category theory)Lie groupTerm (mathematics)Numerical analysisSeries (mathematics)Degree (graph theory)MathematicsGenetic programmingArithmetic meanAreaInfinityMultiplicationWeightInductive reasoning2 (number)Körper <Algebra>Moment <Mathematik>TheoryCovering spaceAngleRamificationUniformer RaumInsertion lossMoment (mathematics)Filter <Stochastik>Strategy gameGrothendieck topologyComputer animation
Representation theoryWeightGroup representationTheoremProof theoryRamificationAbelian categoryEnvelope (mathematics)Compact spaceProjective planeAlgebraIdeal (ethics)Iwasawa decompositionExtension (kinesiology)Multiplizität <Mathematik>BuildingFunktorInfinitySeries (mathematics)Continuous functionTaylor seriesQuotientEinbettung <Mathematik>Uniqueness quantificationProjective planeWeightExtension (kinesiology)QuotientEinbettung <Mathematik>Group representationUniqueness quantificationAlgebraArithmetic meanSquare numberPredictabilityInfinityMultiplicationSigma-algebraGamma functionDimensional analysisTerm (mathematics)Invariant (mathematics)Local ringHomomorphismusCategory of beingDirection (geometry)Stochastic kernel estimationVector spaceMultiplication signEnvelope (mathematics)Duality (mathematics)Axiom of choiceFunktorSequelInteger factorizationTheoremSummierbarkeitDeterminantEqualiser (mathematics)FinitismusLatent heatVotingFree groupKörper <Algebra>Flow separationModel theoryMereologyAnalytic continuationCentralizer and normalizerFormal power seriesCompact spaceGlattheit <Mathematik>Universe (mathematics)TensorproduktMaximal idealResidual (numerical analysis)Product (business)IsomorphieklasseTensorAffine spaceMaxima and minimaRight angleConnectivity (graph theory)Presentation of a groupHeegaard splittingGroup actionRepresentation theoryRing (mathematics)Set theoryGrothendieck topologyWaveMortality rateAlpha (investment)Archaeological field surveyInsertion lossComputer animation
Uniqueness quantificationQuotientAbelian categoryEnvelope (mathematics)Projective planeGroup representationEinbettung <Mathematik>Extension (kinesiology)TheoremProof theoryRamificationMultiplizität <Mathematik>Ideal (ethics)Propositional formulaLattice (group)WeightInductive reasoningModulo (jargon)Sheaf (mathematics)QuotientStochastic kernel estimationEinbettung <Mathematik>Envelope (mathematics)Free groupWeightRankingGroup representationSquare numberPropositional formulaSigma-algebraLattice (group)Projective planeSummierbarkeitExtension (kinesiology)InfinityProduct (business)Gamma functionSlide ruleDeterminantAlgebraAnalytic continuationGroup actionUniqueness quantificationTensorInteger factorizationTheoremAdditionFinitismusMorphismusResultantPower (physics)Many-sorted logicTensorproduktFree moduleRamificationVector spaceArithmetic meanMultiplication signOrder (biology)Cartesian coordinate systemDirection (geometry)Fiber (mathematics)MereologyLinearizationCondition numberTheoryTheory of everythingAffine spaceProof theoryAcoustic shadowLattice (order)BuildingDiagonalAdditionComputer animation
Propositional formulaWeightInductive reasoningProof theoryTheoremRamificationDeterminantCondition numberReduction of orderQuotientProduct (business)Fiber (mathematics)Group actionBuildingMaß <Mathematik>Group representationCurvatureInfinityKörper <Algebra>Cartesian coordinate systemRankingInvariant (mathematics)HomomorphismusPerturbation theoryResultantSquare numberNoetherscher RingRing (mathematics)Field extensionComputabilityPower (physics)MereologyConnectivity (graph theory)Time domainCharacteristic polynomialArithmetic meanAnalytic continuationGroup representationMaß <Mathematik>Multiplication signVariable (mathematics)Sigma-algebraProof theoryGamma functionFiber (mathematics)Product (business)Local ringEinbettung <Mathematik>Condition numberFinitismusTheoremProjective planeDimensional analysisSummierbarkeitInteger factorizationDirection (geometry)QuotientWeightFormal power seriesRepresentation theoryReduction of orderCoefficient of determinationDeterminantPoisson-KlammerDoubling the cubeUnitäre GruppeCorrespondence (mathematics)Line (geometry)Inductive reasoningGroup actionEinheitskugelVolume (thermodynamics)CurvatureSpacetimeAlpha (investment)MorphismusCovering spacePower seriesVector potentialTerm (mathematics)CubeCuboidChainStatistical hypothesis testingState of matterMultiplicationLipschitz-StetigkeitAmenable groupAlgebraExtension (kinesiology)Compact spaceFamilyGraph coloring1 (number)Computer animation
TheoremBuildingGroup representationMaß <Mathematik>CurvatureGroup actionAlgebraProof theoryRamificationMultiplizität <Mathematik>Projective planeAbelian categoryEnvelope (mathematics)Algebraic numberEinbettung <Mathematik>Extension (kinesiology)RhombusIwasawa decompositionIdeal (ethics)Hausdorff dimensionInfinityHypothesisFundamental theorem of algebraSubgroupMoment of inertiaLimit (category theory)Term (mathematics)Power (physics)Arithmetic meanMultiplication signFinitismusDimensional analysisMereologyEnergy levelMathematicsIdeal (ethics)Open setFlow separationMultiplicationInductive reasoningRing (mathematics)Compact spaceInfinitySubgroupCommutative propertyCurvatureResultantDegree (graph theory)PolynomialFraction (mathematics)Different (Kate Ryan album)Many-sorted logicSet theoryMaxima and minimaTheorySimilarity (geometry)AnalogyFunctional (mathematics)Group representationFiber bundleSlide ruleCommutatorHomologieComputer animation
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