Van Dijk, G.
Smooth and admissible representations of p-adic unipotent groups
Compositio Mathematica, Tome 37 (1978) no. 1 , p. 77-101
Zbl 0499.22010 | MR 492085
URL stable : http://www.numdam.org/item?id=CM_1978__37_1_77_0

Bibliographie

[1] N. Bourbaki: Eléments de mathématique, Algèbre, Ch. 9: Formes sesquilinéaires et formes quadratiques, Hermann, Paris (1959). Zbl 0102.25503

[2] P. Cartier: Les représentations des groupes réductifs p-adiques et leurs caractères, Séminaire Bourbaki 1975/76, exposé 471. Numdam | Zbl 0365.22015

[3] W. Casselman e.a.: Modular functions of one variable II. Lecture Notes in Mathematics 349. Springer-Verlag, Berlin etc. (1973).

[4] J. Dixmier: Algèbres Enveloppantes. Gauthier-Villars, Paris (1974). MR 498737 | Zbl 0308.17007

[5] Harish-Chandra: Harmonic analysis on reductive p-adic groups. Lecture Notes in Mathematics 162. Springer-Verlag, Berlin etc. (1970). MR 414797 | Zbl 0202.41101

[6] Harish-Chandra: Harmonic analysis on reductive p-adic groups, in Harmonic Analysis on Homogeneous Spaces, 167-192, Amer. Math. Soc., Providence (1973). MR 340486 | Zbl 0289.22018

[7] H. Jacquet: Sur les représentations des groupes réductifs p-adiques, C.R. Acad. Sc. Paris, t. 280 (1975) Série A, 1271-1272. MR 369624 | Zbl 0309.22012

[8] A.A. Kirillov: Unitary representations of nilpotent Lie groups, Uspekhi Mat. Nauk, vol. 17 (1962) 57-110. MR 142001 | Zbl 0106.25001

[9] C.C. Moore: Decomposition of unitary representations defined by discrete subgroups of nilpotent groups, Ann. of Math., 82 (1965) 146-182. MR 181701 | Zbl 0139.30702

[10] C.C. Moore and J. Wolf: Square integrable representations of nilpotent groups. Trans. Amer. Math. Soc. 185 (1973) 445-462. MR 338267 | Zbl 0274.22016

[11] L. Pukanszky: Leçons sur les représentations des groupes, Dunod, Paris (1967). MR 217220 | Zbl 0152.01201

[12] L. Pukanszky: On the characters and the Plancherel formula of nilpotent groups. J. Functional Analysis 1 (1967) 255-280. MR 228656 | Zbl 0165.48603

[13] G. Van Dijk: Square-integrable representations mod Z of unipotent groups, Compositio Mathematica 29 (1974) 141-150. Numdam | MR 364560 | Zbl 0297.43012