Bulletin of the American Mathematical Society

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Book Information:

Author: Colin J. Bushnell and Philip C. Kutzko
Title: The admissible dual of $\mathrm{GL}(N)$ via compact open subgroups
Additional book information: Princeton University Press, Princeton, NJ, 1993, ix + 313 pp., US$59.50. ISBN 0-691-03256-4.

Armand Borel, Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math. 35 (1976), 233–259. MR 444849, DOI 10.1007/BF01390139

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H. Carayol, Représentations cuspidales du groupe linéaire, Ann. Sci. École Norm. Sup. (4) 17 (1984), no. 2, 191–225 (French). MR 760676

Guy Henniart, Représentations des groupes réductifs $p$-adiques, Astérisque 201-203 (1991), Exp. No. 736, 193–219 (1992) (French). Séminaire Bourbaki, Vol. 1990/91. MR 1157843

Roger E. Howe, Tamely ramified supercuspidal representations of $\textrm {Gl}_{n}$, Pacific J. Math. 73 (1977), no. 2, 437–460. MR 492087

Roger E. Howe, Some qualitative results on the representation theory of $\textrm {Gl}_{n}$ over a $p$-adic field, Pacific J. Math. 73 (1977), no. 2, 479–538. MR 492088

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-, Classification of irreducible representations of GL (F a local field), Inst. Hautes Études Sci., preprint, 1978.

Roger Howe, Harish-Chandra homomorphisms for ${\mathfrak {p}}$-adic groups, CBMS Regional Conference Series in Mathematics, vol. 59, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1985. With the collaboration of Allen Moy. MR 821216, DOI 10.1090/cbms/059

[HM2]

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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 10.1007/BF01389157

P. C. Kutzko, On the supercuspidal representations of $\textrm {Gl}_{2}$, Amer. J. Math. 100 (1978), no. 1, 43–60. MR 507253, DOI 10.2307/2373875

F. I. Mautner, Spherical functions over ${\mathfrak {P}}$-adic fields. I, Amer. J. Math. 80 (1958), 441–457. MR 93558, DOI 10.2307/2372794

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François Rodier, Représentations de $\textrm {GL}(n,\,k)$ où $k$ est un corps $p$-adique, Bourbaki Seminar, Vol. 1981/1982, Astérisque, vol. 92, Soc. Math. France, Paris, 1982, pp. 201–218 (French). MR 689531

J.-L. Waldspurger, Algèbres de Hecke et induites de représentations cuspidales, pour $\textrm {GL}(N)$, J. Reine Angew. Math. 370 (1986), 127–191 (French). MR 852514, DOI 10.1515/crll.1986.370.127

[B]

A. Borel, Admissible representations of a semisimple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math. 35 (1976), 233-259. MR 0444849 (56:3196)

[Bu]

C. J. Bushnell, Hereditary orders, Gauss sums and supercuspidal representations of GL, J. Reine Angew. Math. 375/376 (1987), 184-210. MR 882297 (88e:22024)

[Ca]

H. Carayol, Représentations cuspidales du groupe linéaire, Ann. Sci. École Norm. Sup (4) 17 (1984), 191-225. MR 760676 (86f:22019)

[He]

G. Henniart, Représentations des groupes réductifs p-adiques, Sém. Bourbaki, no. 736, Astérisque 201-202-203 (1991), 193-219. MR 1157843 (93b:22031)

[H1]

R. Howe, Tamely ramified supercuspidal representations of GL, Pacific J. Math. 73 (1977), 437-460. MR 0492087 (58:11241)

[H2]

-, Some qualitative results on the representation theory of GL over a p-adic field, Pacific J. Math. 73 (1977), 479-538. MR 0492088 (58:11242)

[H3]

-, Classification of irreducible representations of GL (F a local field), Inst. Hautes Études Sci., preprint, 1978.

[HM1]

R. Howe and A. Moy, Harish-Chandra homomorphisms for p-adic groups, CBMS Regional Conf. Ser. in Math., vol. 59, Amer. Math. Soc., Providence, RI, 1985. MR 821216 (87h:22023)

[HM2]

-, Minimal K-types for GL over a p-adic field, Astérisque 171-172 (1989), 257-273.

[IM]

N. Iwahori and H. Matsumoto, On some decomposition and the structure of the Hecke rings of the p-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965), 5-48. MR 0185016 (32:2486)

[KL]

D.Kazhdan and G. Lusztig, Proof of the Deligne--Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), 153-215. MR 862716 (88d:11121)

[K]

P. C. Kutzko, On the supercuspidal representation of GL. II, Amer. J. Math. 100 (1978), 705-716. MR 0507254 (58:22411b)

[Ma]

F. I. Mautner, Spherical functions over p-adic fields. I, II, Amer. J. Math. 80 (1958), 441-457; 86 (1964), 171-200. MR 0093558 (20:82)

[M]

A. Moy, A conjecture on minimal K types for GL over a p-adic field, Contemp. Math., vol. 86, Amer. Math. Soc., Providence, RI, 1989, pp. 249-254. MR 987030

[R]

F. Rodier, Représentations de GL où k est un corps p-adique, Sém. Bourbaki, no. 587, Astérisque 92-93 (1982), 201-218. MR 689531 (84h:22040)

[Wa]

J.-L. Waldspurger, Algebres de Hecke et induites de représentations cuspidales, pour GL, J. Reine Angew. Math. 370 (1986), 127-191. MR 852514 (87m:22048)