A note on Jacquet functors and ordinary parts

• Claus Sorensen ^[1]
  1. [1] University of California San Diego (Estados Unidos)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 121, Nº 2, 2017, págs. 311-319
• Idioma: inglés
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• Resumen

  • In this note we relate Emerton's Jacquet functor JP to his ordinary parts functor OrdP, by computing the χ-eigenspaces OrdχP for central characters χ. This fills a small gap in the literature. One consequence is a weak adjunction property for \textit {unitary} characters χ appearing in JP, with potential applications to local-global compatibility in the p-adic Langlands program in the ordinary case.