ON THE SATAKE ISOMORPHISM
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31_2022_Article_9742.pdf
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266.11 KB
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5426081551508458fdc2bb93f34172c5
Author(s)
LUSZTIG, G.
Date Issued
May 27, 2022
Publisher
Springer US
Citation
LUSZTIG, G. 2022. "ON THE SATAKE ISOMORPHISM."
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00031-022-09742-8