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

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• 作者：David Ginzburg ; Dihua Jiang ; David Soudry
• 关键词：Automorphic representations ; Fourier coefficients ; Satake parameter transfer ; 11F70 ; 22E55
• 刊名：Chinese Annals of Mathematics - Series B
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：36
• 期：4
• 页码：485-522
• 全文大小：427 KB
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• 作者单位：David Ginzburg (1)
  Dihua Jiang (2)
  David Soudry (1)
  
  1. School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv, Israel, 69978
  2. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Applications of Mathematics
  Chinese Library of Science
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1860-6261

文摘

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.