Tamely ramified supercuspidal representations

Lawrence Morris

Annales scientifiques de l'École Normale Supérieure (1996)

  • Volume: 29, Issue: 5, page 639-667
  • ISSN: 0012-9593

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Morris, Lawrence. "Tamely ramified supercuspidal representations." Annales scientifiques de l'École Normale Supérieure 29.5 (1996): 639-667. <http://eudml.org/doc/82419>.

@article{Morris1996,
author = {Morris, Lawrence},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {reductive group; local non-archimedean field; parahoric subgroup; irreducible representation; supercuspidal representations; Weil-Deligne group},
language = {eng},
number = {5},
pages = {639-667},
publisher = {Elsevier},
title = {Tamely ramified supercuspidal representations},
url = {http://eudml.org/doc/82419},
volume = {29},
year = {1996},
}

TY - JOUR
AU - Morris, Lawrence
TI - Tamely ramified supercuspidal representations
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1996
PB - Elsevier
VL - 29
IS - 5
SP - 639
EP - 667
LA - eng
KW - reductive group; local non-archimedean field; parahoric subgroup; irreducible representation; supercuspidal representations; Weil-Deligne group
UR - http://eudml.org/doc/82419
ER -

References

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  1. [Bo2] N. BOURBAKI, Algèbre, Chapitre 9, Hermann, Paris, 1973. 
  2. [B-T2] F. BRUHAT and J. TITS, Groupes réductifs sur un corps local II : Schémas en groupes. Existence d'une donnée radicielle valuée (Publ. Math. I.H.E.S., Vol. 60, 1984, pp. 5-184). Zbl0597.14041MR86c:20042
  3. [B-K] C. J. BUSHNELL and P. C. KUTZKO, The admissible dual of GL (N) via compact open subgroups, Annals of Mathematics Studies No. 129, Princeton Univ. Press, Princeton NJ, 1993. Zbl0787.22016MR94h:22007
  4. [Ca] P. CARTIER, Representation of p-adic groups : a survey (Proc. of Symp. in Pure Math., Vol. 33, 1979), part 1, pp. 111-155 Am. Math. Soc., Providence, R.I. Zbl0421.22010MR81e:22029
  5. [Cy] H. CARAYOL, Représentations cuspidales du groupe linéaires (Ann. Scient. Ec. Norm. Sup., (4), Vol. 17, 1984, pp. 191-225). Zbl0549.22009MR86f:22019
  6. [C] R. CARTER, Finite groups of Lie type : conjugacy classes and complex characters, Wiley Interscience, Chichester, 1985. Zbl0567.20023
  7. [CR] C. CURTIS and I. REINER, Methods of representation theory, Vol.I, Wiley Classics Library, John Wiley, New York, 1990. MR90k:20001
  8. [DM] F. DIGNE and J. MICHEL, Representations of finite groups of Lie type, London Mathematical Society Student Texts 21, Cambridge University Press, Cambridge, 1991. Zbl0815.20014MR92g:20063
  9. [H] R. HOWLETT, Normalisers of parabolic subgroups of reflection groups (J. London Math. Soc., Vol. 21, 1980, pp. 62-80). Zbl0427.20040MR81g:20094
  10. [Ko] R. E. KOTTWITZ, Stable trace formula : cuspidal tempered terms (Duke Math. J., Vol. 51, 1984, pp. 611-650). Zbl0576.22020MR85m:11080
  11. [K] P. C. KUTZKO, Mackey's theorem for non unitary representations (Proc. Am. Math. Soc., Vol. 64, 1977, pp. 173-175). Zbl0375.22005MR56 #533
  12. [K1] P. C. KUTZKO, On the restriction of supercuspidal representations to compact open subgroups (Duke Math. J., Vol. 52, 1985, pp. 753-764). Zbl0604.22010MR87e:22038
  13. [L0] G. LUSZTIG, Some examples of square integrable representations of semisimple p-adic groups (Trans. Am. math. Soc., Vol. 277, 1983, pp. 623-653). Zbl0526.22015MR84j:22023
  14. [L2] G. LUSZTIG, Intersection cohomology methods in representation theory, International Congress of Mathematicians Kyoto, 1990. Zbl0749.14010MR92m:20034
  15. [L3] G. LUSZTIG, Intersection cohomology complexes on a reductive group (Inv. Math., Vol. 75, 1984, pp. 205-272). Zbl0547.20032MR86d:20050
  16. [L4] G. LUSZTIG, Representations of finite Chevalley groups, C.B.M.S regional conference series no. 39 (Amer. Math. Soc., Providence, R.I., 1978). Zbl0418.20037MR80f:20045
  17. [L5] G. LUSZTIG, Character sheaves IV (Adv. Math., Vol. 59, 1986, pp. 1-63 ; V. Ibid., Vol. 61, 1986, pp. 103-155). Zbl0602.20035
  18. [M] L. MORRIS, Tamely ramified intertwining algebras (Inv. Math., Vol. 114, 1993, pp. 1-54). Zbl0854.22022MR94g:22035
  19. [M1] L. MORRIS, P-cuspidal representations of level one (Proc. London Math. Soc., (3), Vol. 58, 1989, pp. 550-558). Zbl0678.22010MR90c:22056
  20. [M2] L. MORRIS, Level zero G-types (Preprint 1994). 
  21. [P-R] G. PRASAD and M. RAGHUNATHAN, Topological central extensions of semisimple groups over local fields I (Ann. of Math., Vol. 119, 1984, pp. 143-201). Zbl0552.20025MR86e:20051a
  22. [R] M. REEDER, On the Iwahori spherical discrete series for p-adic Chevalley groups ; formal degrees and L-packets (Ann. Scient. Ec. Norm. Sup., Vol. 27, 1994, pp. 463-491). Zbl0819.22013MR95g:22017
  23. [T] J. TITS, Reductive groups over local fields (In Proc. Symp. in Pure Mathematics, Vol. 33, 1979, Part 1, pp. 29-69, Am. Math. Soc., Providence R.I.). Zbl0415.20035MR80h:20064
  24. [T2] J. TITS, Classification of algebraic semisimple groups (In Proc. Symp. in Pure Mathematics, Vol. 9, 1966, pp. 33-62, Am. Math. Soc., Providence, R.I.). Zbl0238.20052MR37 #309
  25. [V] D. VOGAN, The local Langlands conjecture, (Cont. Math., Vol. 145, Am. Math. Soc., Providence R.I., 1993). Zbl0802.22005MR94e:22031

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