On CAP representations for even orthogonal groups I: A correspondence of unramified representations

David Ginzburg; Dihua Jiang; David Soudry

doi:10.1007/s11401-015-0916-6

On CAP representations for even orthogonal groups I: A correspondence of unramified representations

David Ginzburg, Dihua Jiang, David Soudry

Mathematics

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3 Scopus citations

Abstract

The authors prove the local unramified correspondence for a new type of construction of CAP representations of even orthogonal groups by a generalized automorphic descent method. This method is expected to work for all classical groups.

Original language	English (US)
Pages (from-to)	485-522
Number of pages	38
Journal	Chinese Annals of Mathematics. Series B
Volume	36
Issue number	4
DOIs	https://doi.org/10.1007/s11401-015-0916-6
State	Published - Jul 29 2015

Bibliographical note

Funding Information:
This work was supported by the National Science Foundation Grant (Nos.DMS–1001672, DMS–1301567) and the USA-Israel Binational Science Foundation Grant (Nos. 2008058, 2012019).

Publisher Copyright:
© 2015, Fudan University and Springer-Verlag Berlin Heidelberg.

Keywords

Automorphic representations
Fourier coefficients
Satake parameter transfer

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abstract = "The authors prove the local unramified correspondence for a new type of construction of CAP representations of even orthogonal groups by a generalized automorphic descent method. This method is expected to work for all classical groups.",

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author = "David Ginzburg and Dihua Jiang and David Soudry",

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KW - Fourier coefficients

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On CAP representations for even orthogonal groups I: A correspondence of unramified representations

Abstract

Bibliographical note

Keywords

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