The admissible dual of SL ( N ) . I

Colin J. Bushnell; Philip C. Kutzko

Annales scientifiques de l'École Normale Supérieure (1993)

  • Volume: 26, Issue: 2, page 261-280
  • ISSN: 0012-9593

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Bushnell, Colin J., and Kutzko, Philip C.. "The admissible dual of ${\rm SL}(N)$. I." Annales scientifiques de l'École Normale Supérieure 26.2 (1993): 261-280. <http://eudml.org/doc/82341>.

@article{Bushnell1993,
author = {Bushnell, Colin J., Kutzko, Philip C.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {non-Archimedean local field; reductive group; supercuspidal representations; tamely ramified representations},
language = {eng},
number = {2},
pages = {261-280},
publisher = {Elsevier},
title = {The admissible dual of $\{\rm SL\}(N)$. I},
url = {http://eudml.org/doc/82341},
volume = {26},
year = {1993},
}

TY - JOUR
AU - Bushnell, Colin J.
AU - Kutzko, Philip C.
TI - The admissible dual of ${\rm SL}(N)$. I
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1993
PB - Elsevier
VL - 26
IS - 2
SP - 261
EP - 280
LA - eng
KW - non-Archimedean local field; reductive group; supercuspidal representations; tamely ramified representations
UR - http://eudml.org/doc/82341
ER -

References

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  2. [Bo] A. BOREL, Admissible Representations of a Semisimple Group Over a Local Field with Vectors Fixed Under an Iwahori Subgroup (Invent. Math., Vol. 35, 1976, pp. 233-259). Zbl0334.22012MR56 #3196
  3. [Bu] C. J. BUSHNELL, Hereditary orders, Gauss Sums and Supercuspidal Representations of GLN (J. reine angew. Math., Vol. 375-376, 1987, pp. 184-210). Zbl0601.12025MR88e:22024
  4. [BF] C. J. BUSHNELL and A. FRÖHLICH, Non-Abelian Congruence Gauss Sums and p-Adic Simple Algebras (Proc. London Math. Soc., (3), Vol. 50, 1985, pp. 207-264). Zbl0558.12007
  5. [BK] C. J. BUSHNELL and P. C. KUTZKO, The Admissible Dual of GL (N) via Compact Open Subgroups (Ann. Math. Studies, No. 129, Princeton University Press, 1992). Zbl0787.22016MR94h:22007
  6. [Ca] H. CARAYOL, Représentations cuspidales du groupe linéaire (Ann. Scient. Éc. Norm. Sup., 4e Sér., Vol. 17, 1984, pp. 191-225). Zbl0549.22009MR86f:22019
  7. [C] L. CLOZEL, Invariant Harmonic Analysis on the Schwartz Space of a Reductive p-Adic Group. Harmonic Analysis on Reductive Groups, W. BARKER and P. SALLY Eds. (Progr. Math., No. 101, 1991, pp. 101-121). Zbl0760.22023MR93h:22020
  8. [GK1] S. S. GELBART and A. W. KNAPP, Irreducible Constituents of Principal Series of SLn (k) (Duke Math. J., Vol. 48, 1981, pp. 313-326). Zbl0473.22010MR82j:22018
  9. [GK2] S. S. GELBART and A. W. KNAPP, L-Indistinguishability and R-Groups for the Special Linear Group (Adv. Math., Vol. 43, 1982, pp. 101-121). Zbl0493.22005MR83j:22009
  10. [H] R. E. HOWE, Some Qualitative Results on the Representation Theory of GLn Over a p-Adic Local Field (Pacific J. Math., Vol. 73, 1977, pp. 479-538). Zbl0385.22009MR58 #11242
  11. [Iw] N. IWAHORI, Generalised Tits Systems (Bruhat Decomposition) on p-Adic Semisimple Groups. Algebraic Groups and Discontinuous Subgroups, A. BOREL and G. MOSTOW, Proc. Symposia Pure Math., IX, Am. Math. Soc., Providence, 1966, pp. 71-83. Zbl0199.06901MR35 #6693
  12. [IM] N. IWAHORI and H. MATSUMOTO, On Some Bruhat Decomposition and the Structure of the Hecke Rings of the p-Adic Chevalley Groups (Publ. Math. I.H.E.S., Vol. 25, 1965, pp. 5-48). Zbl0228.20015MR32 #2486
  13. [KS] P. C. KUTZKO and P. J. SALLY Jr., All Supercuspidal Representations of SLl Over a p-Adic Field are Induced. Representation Theory of Reductive Groups, Proceedings of the Utah Conference on Representation Theory (Progr. Math., No. 40, 1983). Zbl0538.22011
  14. [M] L. E. MORRIS, Tamely Ramified Intertwining Algebras, Preprint, 1991. Zbl0854.22022
  15. [MS] A. MOY and P. J. SALLY Jr., Supercuspidal Representations of SLn Over a p-Adic Field : the Tame Case (Duke Math. J., Vol. 51, 1984, pp. 149-161). Zbl0539.22014
  16. [Re] I. REINER, Maximal Orders, Academic Press, New York, 1975. Zbl0305.16001MR52 #13910
  17. [T] M. TADIĆ, Notes on Representations of Non-Archimedean SL (n) (Pacific J. Math., Vol. 152, 1992, pp. 375-396). Zbl0724.22017MR92k:22029

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