Affine Hecke algebras and their graded version
Author:
George Lusztig
Journal:
J. Amer. Math. Soc. 2 (1989), 599-635
MSC:
Primary 16A64; Secondary 20H15, 22E50
DOI:
https://doi.org/10.1090/S0894-0347-1989-0991016-9
MathSciNet review:
991016
Full-text PDF Free Access
References | Similar Articles | Additional Information
- David Kazhdan and George Lusztig, Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), no. 1, 153–215. MR 862716, DOI https://doi.org/10.1007/BF01389157
- Robert W. Kilmoyer, Principal series representations of finite Chevalley groups, J. Algebra 51 (1978), no. 1, 300–319. MR 487479, DOI https://doi.org/10.1016/0021-8693%2878%2990149-7
- George Lusztig, Singularities, character formulas, and a $q$-analog of weight multiplicities, Analysis and topology on singular spaces, II, III (Luminy, 1981) Astérisque, vol. 101, Soc. Math. France, Paris, 1983, pp. 208–229. MR 737932
- George Lusztig, Some examples of square integrable representations of semisimple $p$-adic groups, Trans. Amer. Math. Soc. 277 (1983), no. 2, 623–653. MR 694380, DOI https://doi.org/10.1090/S0002-9947-1983-0694380-4
- George Lusztig, Cuspidal local systems and graded Hecke algebras. I, Inst. Hautes Études Sci. Publ. Math. 67 (1988), 145–202. MR 972345
- I. G. Macdonald, Spherical functions on a group of $p$-adic type, Ramanujan Institute, Centre for Advanced Study in Mathematics,University of Madras, Madras, 1971. Publications of the Ramanujan Institute, No. 2. MR 0435301
Retrieve articles in Journal of the American Mathematical Society with MSC: 16A64, 20H15, 22E50
Retrieve articles in all journals with MSC: 16A64, 20H15, 22E50
Additional Information
Article copyright:
© Copyright 1989
American Mathematical Society
