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1 results

  • Transfert d’intégrales orbitales pour le groupe métaplectique

  • Part of
  • Wen-Wei Li
  • Journal:
    Compositio Mathematica / Volume 147 / Issue 2 / March 2011
    Published online by Cambridge University Press:
    07 September 2010, pp. 524-590
    Print publication:
    March 2011
    • Article
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  • We set up a formalism of endoscopy for metaplectic groups. By defining a suitable transfer factor, we prove an analogue of the Langlands–Shelstad transfer conjecture for orbital integrals over any local field of characteristic zero, as well as the fundamental lemma for units of the Hecke algebra in the unramified case. This generalizes prior work of Adams and Renard in the real case and serves as a first step in studying the Arthur–Selberg trace formula for metaplectic groups.