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
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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
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Article copyright:
© Copyright 1989
American Mathematical Society