Smooth and admissible representations of p -adic unipotent groups

G. Van Dijk

Compositio Mathematica (1978)

  • Volume: 37, Issue: 1, page 77-101
  • ISSN: 0010-437X

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Van Dijk, G.. "Smooth and admissible representations of $p$-adic unipotent groups." Compositio Mathematica 37.1 (1978): 77-101. <http://eudml.org/doc/89377>.

@article{VanDijk1978,
author = {Van Dijk, G.},
journal = {Compositio Mathematica},
keywords = {unipotent group; irreducible smooth representation; Kirillov character; square-integrable representations},
language = {eng},
number = {1},
pages = {77-101},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Smooth and admissible representations of $p$-adic unipotent groups},
url = {http://eudml.org/doc/89377},
volume = {37},
year = {1978},
}

TY - JOUR
AU - Van Dijk, G.
TI - Smooth and admissible representations of $p$-adic unipotent groups
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 37
IS - 1
SP - 77
EP - 101
LA - eng
KW - unipotent group; irreducible smooth representation; Kirillov character; square-integrable representations
UR - http://eudml.org/doc/89377
ER -

References

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  1. [1] N. Bourbaki: Eléments de mathématique, Algèbre, Ch. 9: Formes sesquilinéaires et formes quadratiques, Hermann, Paris (1959). Zbl0102.25503
  2. [2] P. Cartier: Les représentations des groupes réductifs p-adiques et leurs caractères, Séminaire Bourbaki 1975/76, exposé 471. Zbl0365.22015
  3. [3] W. Casselman e.a.: Modular functions of one variable II. Lecture Notes in Mathematics349. Springer-Verlag, Berlin etc. (1973). 
  4. [4] J. Dixmier: Algèbres Enveloppantes. Gauthier-Villars, Paris (1974). Zbl0308.17007MR498737
  5. [5] Harish-Chandra: Harmonic analysis on reductive p-adic groups. Lecture Notes in Mathematics162. Springer-Verlag, Berlin etc. (1970). Zbl0202.41101MR414797
  6. [6] Harish-Chandra: Harmonic analysis on reductive p-adic groups, in Harmonic Analysis on Homogeneous Spaces, 167-192, Amer. Math. Soc., Providence (1973). Zbl0289.22018MR340486
  7. [7] H. Jacquet: Sur les représentations des groupes réductifs p-adiques, C.R. Acad. Sc. Paris, t. 280 (1975) Série A, 1271-1272. Zbl0309.22012MR369624
  8. [8] A.A. Kirillov: Unitary representations of nilpotent Lie groups, Uspekhi Mat. Nauk, vol. 17 (1962) 57-110. Zbl0106.25001MR142001
  9. [9] C.C. Moore: Decomposition of unitary representations defined by discrete subgroups of nilpotent groups, Ann. of Math., 82 (1965) 146-182. Zbl0139.30702MR181701
  10. [10] C.C. Moore and J. Wolf: Square integrable representations of nilpotent groups. Trans. Amer. Math. Soc.185 (1973) 445-462. Zbl0274.22016MR338267
  11. [11] L. Pukanszky: Leçons sur les représentations des groupes, Dunod, Paris (1967). Zbl0152.01201MR217220
  12. [12] L. Pukanszky: On the characters and the Plancherel formula of nilpotent groups. J. Functional Analysis1 (1967) 255-280. Zbl0165.48603MR228656
  13. [13] G. Van Dijk: Square-integrable representations mod Z of unipotent groups, Compositio Mathematica29 (1974) 141-150. Zbl0297.43012MR364560

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