Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Unitary quasilifting: applications


Author: Yuval Z. Flicker
Journal: Trans. Amer. Math. Soc. 294 (1986), 553-565
MSC: Primary 11F70; Secondary 22E55
MathSciNet review: 825721
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ U(3)$ be the quasi-split unitary group in three variables defined using a quadratic extension $ E/F$ of number fields. Complete local and global results are obtained for the $ \sigma $-endo-(unstable) lifting from $ U(2)$ to $ {\text{GL}}(3,\,E)$. This is used to establish quasi-(endo-)lifting for automorphic forms from $ U(2)$ to $ U(3)$ by means of base change from $ U(3)$ to $ {\text{GL}}(3,\,E)$. Base change quasi-lifting is also proven. Continuing the work of $ \left[ {\mathbf{I}} \right]$, 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 11F70, 22E55

Retrieve articles in all journals with MSC: 11F70, 22E55


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0825721-5
PII: S 0002-9947(1986)0825721-5
Article copyright: © Copyright 1986 American Mathematical Society