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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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).
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Ginzburg, D., Jiang, D. & Soudry, D. On CAP representations for even orthogonal groups I: A correspondence of unramified representations. Chin. Ann. Math. Ser. B 36, 485–522 (2015). https://doi.org/10.1007/s11401-015-0916-6
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DOI: https://doi.org/10.1007/s11401-015-0916-6