Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
Reference15 articles.
1. Andersen, H.H., Jantzen, J.C., Soergel, W.: Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p: independence of p. Astérisque. 220, 1–321 (1994)
2. J. C. Jantzen, Darstellungen halbeinfacher algebraischer Gruppen, Bonn. Math. Sch., no. 67 (1973).
3. M. Kashiwara, T. Tanisaki, Kazhdan–Lusztig conjecture for affine Lie algebras with negative level, Duke J. Math. 77 (1995), 21–62.
4. Kazhdan, D., Lusztig, G.: Representations of Coxeter groups and Hecke algebras. Inv. Math. 53, 165–184 (1979)
5. D. Kazhdan, G. Lusztig, Schubert varieties and Poincaré duality, Proc. Symp. Pure Math. 36, Amer. Math. Soc. (1980), 185–203.