Uniqueness of Whittaker model for some supercuspidal representations of the metaplectic group

Corinne Blondel

Compositio Mathematica (1992)

  • Volume: 83, Issue: 1, page 1-18
  • ISSN: 0010-437X

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Blondel, Corinne. "Uniqueness of Whittaker model for some supercuspidal representations of the metaplectic group." Compositio Mathematica 83.1 (1992): 1-18. <http://eudml.org/doc/90159>.

@article{Blondel1992,
author = {Blondel, Corinne},
journal = {Compositio Mathematica},
keywords = {local non-archimedean field; local Shimura correspondence; -fold metaplectic group; supercuspidal representations; Whittaker spaces; irreducible induction; induction; Langlands correspondence; induced representations; maximal reducibility; generalized odd Weil representations},
language = {eng},
number = {1},
pages = {1-18},
publisher = {Kluwer Academic Publishers},
title = {Uniqueness of Whittaker model for some supercuspidal representations of the metaplectic group},
url = {http://eudml.org/doc/90159},
volume = {83},
year = {1992},
}

TY - JOUR
AU - Blondel, Corinne
TI - Uniqueness of Whittaker model for some supercuspidal representations of the metaplectic group
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 83
IS - 1
SP - 1
EP - 18
LA - eng
KW - local non-archimedean field; local Shimura correspondence; -fold metaplectic group; supercuspidal representations; Whittaker spaces; irreducible induction; induction; Langlands correspondence; induced representations; maximal reducibility; generalized odd Weil representations
UR - http://eudml.org/doc/90159
ER -

References

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  1. 1 Bernstein, I.N. and Zelevinsky, A.V., Representations of the group GLn(F) where F is a non archimedean local field, Russian Math. Surveys31, n. 3, (1976) p. 1-68. Zbl0348.43007
  2. 2 Blondel, C., Construction des représentations supercuspidales des groupes métaplectiques sur GL(2), Thèse de troisième cycle, Université Paris VII, 1981. 
  3. 3 Blondel, C., Les représentations supercuspidales des groupes métaplectiques sur GL(2) et leurs caractères, Mémoire S.M.F. n. 18, Supplément au Bulletin de la S.M.F., Tome 113, Fasc. 1, 1985. Zbl0581.22018MR810152
  4. 4 Blondel, C., Sur des représentations supercuspidales exceptionnelles de groupes métaplectiques locaux, Note auxC.R. Acad. Sc. Paris, t.303, Série I, n. 13, 1986. Zbl0601.22010MR867545
  5. 5 Carayol, H., Représentations cuspidales du groupe linéaire, Ann. Scient. Ec. Norm. Sup., 4e série, t. 17, 1984, p. 191-225. Zbl0549.22009MR760676
  6. 6 Flicker, Y.Z., Automorphic forms on covering groups of GL (2), Inv. Math.57, (1980) p. 119-182. Zbl0431.10014MR567194
  7. 7 Flicker, Y.Z. and Kazhdan, D.A., Metaplectic correspondence, Publ. Math. IHES64, (1987) p. 53-110. Zbl0616.10024MR876160
  8. 8 Gelbart, S. and Piatetski-Shapiro, I.I., Distinguished representations and modular forms of half-integral weight, Inv. Math.59, 1980, p. 145-188. Zbl0426.10027MR577359
  9. 9 Gelfand, I.M. and Kazhdan, D.A., Representations of GL(n, K) where K is a local field, in: Lie groups and their representations, Ed. I. M. Gelfand, Hilger, 1975. Zbl0348.22011
  10. 10 Howe, R., Tamely ramified supercuspidal representations of GL(n), Pacific Journal of Math., vol. 73, n. 2, 1977, p. 437-460. Zbl0404.22019MR492087
  11. 11 Kazhdan, D.A. and Patterson, S.J., Metaplectic forms, Publ. Math. IHES59, 1984, p. 35-142. Zbl0559.10026MR743816
  12. 12 Moy, A., Local constants and the tame Langlands correspondence, Amer. J. of Math.108, 1986, 863-929. Zbl0597.12019MR853218
  13. 13 Patterson, S.J. and Piatetski-Shapiro, I.I., A cubic analogue of the cuspidal theta representations, J. Math. pures et appl., 63, 1984, p. 333-375. Zbl0563.10022MR794055
  14. 14 Serre, J.-P., Corps locaux, Hermann, Paris, 1968. Zbl0137.02601MR354618
  15. 15 Weil, A., Sur certains groupes d'opérateurs unitaires, Acta Math.111, 1964, p. 143-211. Zbl0203.03305MR165033

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