On the supercuspidal representations of GL N , N the product of two primes

Philip Kutzko; David Manderscheid

Annales scientifiques de l'École Normale Supérieure (1990)

  • Volume: 23, Issue: 1, page 39-88
  • ISSN: 0012-9593

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Kutzko, Philip, and Manderscheid, David. "On the supercuspidal representations of ${\rm GL}_N,\;N$ the product of two primes." Annales scientifiques de l'École Normale Supérieure 23.1 (1990): 39-88. <http://eudml.org/doc/82269>.

@article{Kutzko1990,
author = {Kutzko, Philip, Manderscheid, David},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {irreducible supercuspidal representations; -adic field},
language = {eng},
number = {1},
pages = {39-88},
publisher = {Elsevier},
title = {On the supercuspidal representations of $\{\rm GL\}_N,\;N$ the product of two primes},
url = {http://eudml.org/doc/82269},
volume = {23},
year = {1990},
}

TY - JOUR
AU - Kutzko, Philip
AU - Manderscheid, David
TI - On the supercuspidal representations of ${\rm GL}_N,\;N$ the product of two primes
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1990
PB - Elsevier
VL - 23
IS - 1
SP - 39
EP - 88
LA - eng
KW - irreducible supercuspidal representations; -adic field
UR - http://eudml.org/doc/82269
ER -

References

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  1. [B] C. BUSHNELL, Hereditary Orders, Gauss Sums and Supercuspidal Representations of GLN (J. Reine Angew. Math., Vol. 375/376, 1987, pp. 184-210). Zbl0601.12025MR88e:22024
  2. [BF] C. BUSHNELL and A. FRÖHLICH, Non-Abelian Congruence Gauss Sums and p-Adic Simple Algebras (Proc. London Math. Soc., Vol. 50, 1985, pp. 207-264). Zbl0558.12007
  3. [Ca] H. CARAYOL, Representations Cuspidales du Group Linear (Ann. Sci. École Norm. Sup., Vol. 17, 1984, p. 191-225). Zbl0549.22009MR86f:22019
  4. [G] P. GÉRARDIN, Construction de séries discrètes p-adiques (Lect. Notes Math., No. 462, 1975, Springer Verlag). Zbl0302.22002MR53 #719
  5. [H] R. HOWE, Tamely Ramified Supercuspidal Representations of GLN(F) (Pac. J. Math., Vol. 73, 1977, pp. 437-460). Zbl0404.22019MR58 #11241
  6. [HM1] R. HOWE and A. MOY, Minimal K-types for GLn, 1986, preprint. 
  7. [HM2] R. HOWE and A. MOY, Hecke Algebra Isomorphisms for GLn, 1986, preprint. 
  8. [K1] P. KUTZKO, On the Supercuspidal Representations of GL2 (II, Am. J. Math., Vol. 100, 1978, pp. 705-716). Zbl0421.22012MR58 #22411b
  9. [K2] P. KUTZKO, On the Restriction of Supercuspidal Representations to Compact, open Subgroups (Duke Math. J., Vol. 52, 1985, pp. 753-764). Zbl0604.22010MR87e:22038
  10. [K3] P. KUTZKO, Towards a Classification of the Supercuspidal Representations of GLN (J. London Math. Soc., Vol. 37, 1988, pp. 265-274). Zbl0678.22009MR89e:22028
  11. [K4] P. KUTZKO, On the Supercuspidal Representations of GLN and Other Groups (Proc. Int. Cong. Math., 1986, A.M.S., 1987). Zbl0675.22009
  12. [KM1] P. KUTZKO and D. MANDERSCHEID, On the Supercuspidal Representations of GL4 (Duke Math. J., Vol. 52, 1985, pp. 841-867). Zbl0606.22011MR87e:22039
  13. [KM2] P. KUTZKO and D. MANDERSCHEID, On Intertwining Operators for GLN(F), F a Nonarchimedean Local Field (Duke Math. J., Vol. 57, 1988, pp. 275-293). Zbl0665.22006MR90c:22054
  14. [M0] A. MOY, Local Constants and the Tame Langlands Correspondence (Am. J. Math., Vol. 108, 1986, pp. 863-930). Zbl0597.12019MR88b:11081
  15. [S] J. P. SERRE, Local Fields, Springer Verlag, New York, 1979. Zbl0423.12016MR82e:12016
  16. [Sp] T. A. SPRINGER, Cusp Forms for Finite Groups, in Seminar on Algebraic Groups and Related Finite Groups (Lect. Notes Math., No. 131, 1970, Springer Verlag). Zbl0263.20024MR41 #8541
  17. [Wa] J. L. WALDSPURGER, Algèbres de Hecke et induites de représentations cuspidales, pour GL(N) (J. Reine Agew. Math., Vol. 370, 1986, pp. 127-191). Zbl0586.20020MR87m:22048
  18. [W1] A. WEIL, Basic Number Theory, Springer Verlag, New York, 1974. Zbl0326.12001MR55 #302
  19. [W2] A. WEIL, Sur certains groupes d'opérateurs unitaires (Acta. Math., Vol. 111, 1964, pp. 145-211). Zbl0203.03305MR29 #2324

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