An interpretation of the tame local Langlands correspondence for p-adic PGSp(4) from the perspective of real groups

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• 作者：Moshe Adrian (1)
  Joshua Lansky (2)
  
  1. Department of Mathematics ; University of Utah ; 155 S 1400 E Room 233 ; Salt Lake City ; UT ; 84112-0090 ; USA
  2. Department of Mathematics and Statistics ; American University ; 4400 Massachusetts Ave. ; NW ; Washington ; DC ; 20016-8050 ; USA
  
• 刊名：Israel Journal of Mathematics
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：206
• 期：1
• 页码：353-393
• 全文大小：415 KB
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  4. Adler, J. (1998) Refined anisotropic K-types and supercuspidal representations. Pacific Journal of Mathematics 185: pp. 1-32 CrossRef
  5. Adrian, M. (2012) On the local Langlands correspondences of DeBacker/Reeder and Reeder for GL(鈩? F), where 鈩?is prime. Pacific Journal of Mathematics 255: pp. 257-280 CrossRef
  6. M. Adrian, / A new construction of the local Langlands correspondence for GL( / n, F), / n a prime, Ph.D. Thesis, University of Maryland, 2010.
  7. M. Adrian and D. Roe, / Rectifiers and the local Langlands correspondence: the unramified case, preprint, arXiv:1307.0469
  8. Bushnell, C., Henniart, G. (2005) The essentially tame local Langlands correspondence, I. Journal of the American Mathematical Society 18: pp. 685-710 CrossRef
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  16. Morris, L. (1991) Some tamely ramified supercuspidal representations of symplectic groups. Proceedings of the London Mathematical Society 63: pp. 519-551 CrossRef
  17. Reeder, M. (2008) Supercuspidal L-packets of positive depth and twisted Coxeter elements. Journal f眉r die Reine und Angewandte Mathematik 620: pp. 1-33 CrossRef
  18. Spice, L. (2005) Supercuspidal characters of SL鈩?over a p-adic field, 鈩?a prime. American Journal of Mathematics 127: pp. 51-100 CrossRef
  19. Voskresenski沫, V. (1998) Algebraic Groups and their Birational Invariants. American Mathematical Society, Providence, RI
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebra
  Group Theory and Generalizations
  Analysis
  Applications of Mathematics
  Mathematical and Computational Physics
  
• 出版者：Hebrew University Magnes Press
• ISSN：1565-8511

文摘

Let F be a p-adic field. In this paper, we continue the work of the first author and give a new realization of the tame local Langlands correspondence for PGSp(4, F) that is analogous to the construction of the local Langlands correspondence for real groups.