Journal article
Distinguished representations and quadratic base change for GL(3)
Transactions of the American Mathematical Society, Vol.348(3), pp.913-939
03/01/1996
DOI: 10.1090/s0002-9947-96-01549-8
Abstract
Let E/F be a quadratic extension of number fields. Suppose that every real place of F splits in E and let H be the unitary group in 3 variables. Suppose that Π is an automorphic cuspidal representation of GL(3, EA). We prove that there is a form φ in the space of Π such that the integral of φ over H(F)\H(FA) is non zero. Our proof is based on earlier results and the notion, discussed in this paper, of Shalika germs for certain Kloosterman integrals.
Details
- Title: Subtitle
- Distinguished representations and quadratic base change for GL(3)
- Creators
- Herve Jacquet - Department of Mathematics, University of Iowa, United StatesYe Yangbo - University of Iowa, Mathematics
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.348(3), pp.913-939
- DOI
- 10.1090/s0002-9947-96-01549-8
- ISSN
- 0002-9947
- Publisher
- American Mathematical Society
- Number of pages
- 27
- Language
- English
- Date published
- 03/01/1996
- Academic Unit
- Mathematics
- Record Identifier
- 9983985928102771
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