Local character expansions

Dan Barbasch; Allen Moy

Annales scientifiques de l'École Normale Supérieure (1997)

  • Volume: 30, Issue: 5, page 553-567
  • ISSN: 0012-9593

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Barbasch, Dan, and Moy, Allen. "Local character expansions." Annales scientifiques de l'École Normale Supérieure 30.5 (1997): 553-567. <http://eudml.org/doc/82442>.

@article{Barbasch1997,
author = {Barbasch, Dan, Moy, Allen},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {representation; Fourier transforms; orbits; Lie algebra; local character expansion; Gelfand-Graev characters},
language = {eng},
number = {5},
pages = {553-567},
publisher = {Elsevier},
title = {Local character expansions},
url = {http://eudml.org/doc/82442},
volume = {30},
year = {1997},
}

TY - JOUR
AU - Barbasch, Dan
AU - Moy, Allen
TI - Local character expansions
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1997
PB - Elsevier
VL - 30
IS - 5
SP - 553
EP - 567
LA - eng
KW - representation; Fourier transforms; orbits; Lie algebra; local character expansion; Gelfand-Graev characters
UR - http://eudml.org/doc/82442
ER -

References

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  1. [Ca] R. CARTER, Finite groups of Lie type (Wiley Interscience, 1985). Zbl0567.20023MR87d:20060
  2. [Ha] T. HALES, A simple definition of Transfer factors for unramified groups (Contemporary Math., Vol. 145, 1993, pp. 109-134). Zbl0828.22015MR94e:22020
  3. [Ho] R. HOWE, The Fourier of Transform and Germs of Characters (Math. Ann., Vol. 208, 1974, pp. 305-322). Zbl0266.43007MR49 #7391
  4. [Ka] N. KAWANAKA, Fourier Transforms of Nilpotently Supported Invariant Functions on a Simple Lie Algebra over a Finite Field, (Invent. Math., Vol. 69, 1982, pp. 411-435). Zbl0495.22004MR84c:20053
  5. [Kb] N. KAWANAKA, Shintani lifting and Gelfand-Graev representations, (Proc. Symposia in Pure Math., Vol. 47, 1987, pp. 147-163). Zbl0654.20046MR89h:22037
  6. [Ko] B. KOSTANT, The principal three-dimensional subgroup and the Betti numbers of a complex Lie group, (Amer. Jour. of Math., Vol. 81, 1959, pp. 973-1032). Zbl0099.25603MR22 #5693
  7. [L] G. LUSZTIG, Unipotent Support for Irreducible Representations (Advances in Math., Vol. 94, 1992, pp. 139-179). Zbl0789.20042MR94a:20073
  8. [MW] C. MOEGLIN and J.-L. WALDSPURGER, Modèles de Whittaker dégénérés pour les groupes p-adiques, (Math. Z., Vol. 3, 1987, pp. 427-452). Zbl0612.22008MR89f:22024
  9. [MPa] A. MOY and G. PRASAD, Unrefined minimal K-types for p-adic groups, (Invent. Math., Vol. 116, 1994, pp. 393-4089). Zbl0804.22008MR95f:22023
  10. [MPb] A. MOY and G. PRASAD, Jacquet functors and unrefined minimal K-types, (Comment. Math. Helv., Vol. 71, 1996, pp. 98-121). Zbl0860.22006MR97c:22021
  11. [Ro] J. ROGAWSKI, An application of the building to orbital integrals, (Compositio Math., Vol. 42, 1980/1981, pp. 417-423). Zbl0471.22020MR83g:22011
  12. [Wa] J.-L. WALDSPURGER, Homogénéité de certaines distributions sur les groupes p-adiques, (Publ. Math. IHES, Vol. 81, 1995, pp. 25-72). Zbl0841.22009MR98f:22023
  13. [Wb] J.-L. WALDSPURGER, Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke, (Bull. Soc. Math. France, Vol. 124, no. 1, 1996, pp. 1-34). Zbl0876.22013MR98f:11050
  14. [Wc] J.-L. WALDSPURGER, Quelques résultats de finitude concernant les distributions invariantes sur les algèbres de Lie p-adiques, info preprint. 

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