Abstract
In a 1983 paper, the author has established a (decategorified) Satake equivalence for affine Hecke algebras. In this paper, we give new proofs for some results of that paper, one based on the theory of J-rings and one based on the known character formula for rational representations of a reductive group in positive, large characteristic. We also give an extension of that formula to disconnected groups.
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Dedicated to the memory of my dear friend, Jim Humphreys
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LUSZTIG, G. ON THE SATAKE ISOMORPHISM. Transformation Groups 28, 1191–1204 (2023). https://doi.org/10.1007/s00031-022-09742-8
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DOI: https://doi.org/10.1007/s00031-022-09742-8