Positivity for some Satake coefficients

• Alexandru Tupan ^[1]
  1. [1] Michigan State University

     Michigan State University

     City of East Lansing, Estados Unidos

     
• Localización: Manuscripta mathematica, ISSN 0025-2611, Nº 1, 2003, págs. 191-195
• Idioma: inglés
• DOI: 10.1007/s00229-003-0390-4
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let G be a general linear group over a local field F. We consider the matrix describing the Satake isomorphism with respect to natural bases. We give a simple proof for the positivity of all matrix coefficients that are not obviously zero. The arguments are elementary and more direct than Rapoport's original proof.