Base change lifting
http://dbpedia.org/resource/Base_change_lifting an entity of type: Software
In mathematics, base change lifting is a method of constructing new automorphic forms from old ones, that corresponds in Langlands philosophy to the operation of restricting a representation of a Galois group to a subgroup. , and gave expositions of the base change lifting for GL2 and its applications to the Artin conjecture.
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Base change lifting
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32338538
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1020361448
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Hiroshi Saito
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Hiroshi
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Saito
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1975
1979
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In mathematics, base change lifting is a method of constructing new automorphic forms from old ones, that corresponds in Langlands philosophy to the operation of restricting a representation of a Galois group to a subgroup. The Doi–Naganuma lifting from 1967 was a precursor of the base change lifting. Base change lifting was introduced by Hiroshi Saito for Hilbert modular forms of cyclic totally real fields of prime degree, by comparing the trace of twisted Hecke operators on Hilbert modular forms with the trace of Hecke operators on ordinary modular forms. gave a representation theoretic interpretation of Saito's results and used this to generalize them. extended the base change lifting to more general automorphic forms and showed how to use the base change lifting for GL2 to prove the Artin conjecture for tetrahedral and some octahedral 2-dimensional representations of the Galois group. , and gave expositions of the base change lifting for GL2 and its applications to the Artin conjecture.
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5857