ON THE SATAKE ISOMORPHISM

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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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APA

Lusztig, G. (2023). ON THE SATAKE ISOMORPHISM. Transformation Groups, 28(3), 1191–1204. https://doi.org/10.1007/s00031-022-09742-8

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