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| On CAP Representations for Even Orthogonal Groups Ⅰ:A Correspondence of Unramified Representations |
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Citation： |
David GINZBURG,Dihua JIANG,David SOUDRY.On CAP Representations for Even Orthogonal Groups Ⅰ:A Correspondence of Unramified Representations[J].Chinese Annals of Mathematics B,2015,36(4):485~522 |
| Page view： 1060
Net amount： 944 |
Authors： |
David GINZBURG; Dihua JIANG; David SOUDRY; |
Foundation： |
supported by the National Science Foundation Grant (Nos.DMS–1001672, DMS–
1301567) and the USA-Israel Binational Science Foundation Grant (Nos. 2008058, 2012019). |
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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. |
Keywords： |
Automorphic representations, Fourier coefficients, Satake parameter
transfer |
Classification： |
11F70, 22E55 |
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