Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke

Jean-Loup Waldspurger

Bulletin de la Société Mathématique de France (1996)

  • Volume: 124, Issue: 1, page 1-34
  • ISSN: 0037-9484

How to cite

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Waldspurger, Jean-Loup. "Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke." Bulletin de la Société Mathématique de France 124.1 (1996): 1-34. <http://eudml.org/doc/87733>.

@article{Waldspurger1996,
author = {Waldspurger, Jean-Loup},
journal = {Bulletin de la Société Mathématique de France},
keywords = {connected reductive group; orbital integrals; Iwahori-Hecke algebra; Bruhat-Tits theory; classical groups},
language = {fre},
number = {1},
pages = {1-34},
publisher = {Société mathématique de France},
title = {Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke},
url = {http://eudml.org/doc/87733},
volume = {124},
year = {1996},
}

TY - JOUR
AU - Waldspurger, Jean-Loup
TI - Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke
JO - Bulletin de la Société Mathématique de France
PY - 1996
PB - Société mathématique de France
VL - 124
IS - 1
SP - 1
EP - 34
LA - fre
KW - connected reductive group; orbital integrals; Iwahori-Hecke algebra; Bruhat-Tits theory; classical groups
UR - http://eudml.org/doc/87733
ER -

References

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  1. [C] CARTER (R.). — Finite groups of Lie type, conjugacy classes and complex characters, Wiley-Interscience, 1993. 
  2. [DL] DELIGNE (P.) and LUSZTIG (G.). — Duality for representations of a reductive group over a finite field II, J. of Algebra, t. 81, 1983, p. 540-545. Zbl0535.20020MR85b:20058
  3. [H1] HALES (T.). — A simple definition of transfer factors for unramified groups, Contemporary Math, t. 145, 1993, p. 109-134. Zbl0828.22015MR94e:22020
  4. [H2] HALES (T.). — Unipotent representations and unipotent classes in SL(N), Amer J. of Math, t. 115, 1993, p. 1347-1383. Zbl0810.22008MR95a:22024
  5. [LS] LANGLANDS (R.P.) and SHELSTAD (D.). — On the definition of transfer factors, Math. Ann., t. 278, 1987, p. 219-271. Zbl0644.22005MR89c:11172
  6. [L] LUSZTIG (G.). — Intersection cohomology complexes on a reductive group, Invent. math, t. 75, 1984, p. 205-272. Zbl0547.20032MR86d:20050
  7. [MA1] ASSEM (M.). — Some result on unipotent orbital integrals, Compositio Math, t. 78, 1991, p. 37-78. Zbl0737.22005MR92a:22014
  8. [MA2] ASSEM (M.). — Unipotent orbital integrals of spherical functions on p adic 4 x 4 symplectic groups, prépublication. 
  9. [S] SHOJI (T.). — On the Green polynomials of classical groups, Invent. Math, t. 74, 1983, p. 239-267. Zbl0525.20027MR85f:20032
  10. [W1] WALDSPURGER (J.-L.). — Intégrales orbitales sphériques pour GL(N) sur un corps p-adique, in Orbites unipotentes et représentations II, Astérisque 171-172, 1989. Zbl0706.22015MR91g:22027
  11. [W2] WALDSPURGER (J.-L.). — Sur les intégrales orbitales tordues pour les groupes linéaires : un lemme fondamental, J. Can. de Math., t. 43, 1991, p. 852-896. Zbl0760.22026MR92k:22030

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