Abstract.
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.
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Mathematics Subject Classification (2000): 22E35
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Tupan, A. Positivity for some Satake coefficients. manuscripta math. 112, 191–195 (2003). https://doi.org/10.1007/s00229-003-0390-4
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DOI: https://doi.org/10.1007/s00229-003-0390-4