Unitary quasilifting: applications
Author:
Yuval Z. Flicker
Journal:
Trans. Amer. Math. Soc. 294 (1986), 553565
MSC:
Primary 11F70; Secondary 22E55
MathSciNet review:
825721
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Abstract: Let be the quasisplit unitary group in three variables defined using a quadratic extension of number fields. Complete local and global results are obtained for the endo(unstable) lifting from to . This is used to establish quasi(endo)lifting for automorphic forms from to by means of base change from to . Base change quasilifting is also proven. Continuing the work of , the exposition is elementary, and uses only a simple form of an identity of trace formulas, and base change transfer of orbital integrals of spherical functions.
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 , packets and liftings for , unpublished, Princton Univ., 1982.
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 , Twisted trace formula and symmetric square comparison, preprint, Princeton, 1984.
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 H. Jacquet and J. Shalika, On Euler products and the classification of automorphic forms. II, Amer. J. Math. 103 (1981), 777815. MR 623137 (82m:10050b)
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 D. Keys, Principal series representations of special unitary groups over local fields, Compositio Math. 51 (1984), 115130. MR 734788 (85d:22031)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947198608257215
PII:
S 00029947(1986)08257215
Article copyright:
© Copyright 1986
American Mathematical Society
