On the Satake isomorphism
Representation Theory
2020-12-11 v2
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 character formula to disconnected groups.
Keywords
Cite
@article{arxiv.2012.00569,
title = {On the Satake isomorphism},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2012.00569},
year = {2020}
}
Comments
13 pages