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ISSN 1088-6834(online) ISSN 0894-0347(print)

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
MathSciNet review: 991016
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[1] David Kazhdan and George Lusztig, Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), no. 1, 153–215. MR 862716 (88d:11121), http://dx.doi.org/10.1007/BF01389157
[2] Robert W. Kilmoyer, Principal series representations of finite Chevalley groups, J. Algebra 51 (1978), no. 1, 300–319. MR 487479 (81e:20047), http://dx.doi.org/10.1016/0021-8693(78)90149-7
[3] 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 (85m:17005)
[4] 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 (84j:22023), http://dx.doi.org/10.1090/S0002-9947-1983-0694380-4
[5] George Lusztig, Cuspidal local systems and graded Hecke algebras. I, Inst. Hautes Études Sci. Publ. Math. 67 (1988), 145–202. MR 972345 (90e:22029)
[6] 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 (55 #8261)

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