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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:appliesTo
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cyclic extensions of number fields
quadratic extensions of number fields
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gptkbp:concerns
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automorphic representations of GL(2)
base change lifting
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gptkbp:field
|
number theory
representation theory
automorphic forms
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https://www.w3.org/2000/01/rdf-schema#label
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Base Change for GL(2)
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gptkbp:introduced
|
gptkb:Robert_Langlands
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gptkbp:introducedIn
|
1979
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gptkbp:provenBy
|
gptkb:Robert_Langlands
gptkb:James_Arthur
gptkb:Stephen_Gelbart
gptkb:Dorian_Goldfeld
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|
gptkbp:publishedIn
|
gptkb:Annals_of_Mathematics
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gptkbp:relatedTo
|
gptkb:Langlands_program
gptkb:Artin_reciprocity
functoriality
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gptkbp:result
|
compatibility with L-functions
compatibility with epsilon factors
preservation of cuspidality under base change
lifting automorphic representations from GL(2) over a field to GL(2) over an extension field
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gptkbp:seeAlso
|
gptkb:Langlands_correspondence
gptkb:Automorphic_L-functions
gptkb:Base_Change_for_GL(n)
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gptkbp:bfsParent
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gptkb:Robert_Langlands
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gptkbp:bfsLayer
|
4
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