Semisimple strata for p-adic classical groups

Shaun Stevens

Annales scientifiques de l'École Normale Supérieure (2002)

  • Volume: 35, Issue: 3, page 423-435
  • ISSN: 0012-9593

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Stevens, Shaun. "Semisimple strata for p-adic classical groups." Annales scientifiques de l'École Normale Supérieure 35.3 (2002): 423-435. <http://eudml.org/doc/82576>.

@article{Stevens2002,
author = {Stevens, Shaun},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Galois involution; reductive group; semisimple skew stratum; supercuspidal representation},
language = {eng},
number = {3},
pages = {423-435},
publisher = {Elsevier},
title = {Semisimple strata for p-adic classical groups},
url = {http://eudml.org/doc/82576},
volume = {35},
year = {2002},
}

TY - JOUR
AU - Stevens, Shaun
TI - Semisimple strata for p-adic classical groups
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2002
PB - Elsevier
VL - 35
IS - 3
SP - 423
EP - 435
LA - eng
KW - Galois involution; reductive group; semisimple skew stratum; supercuspidal representation
UR - http://eudml.org/doc/82576
ER -

References

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  2. [2] Blasco L., Blondel C., Types induits des paraboliques maximaux de Sp4(F) et GSp4(F), Ann. Inst. Fourier (Grenoble)49 (6) (1999) 1805-1851. Zbl0937.22010MR1738067
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  4. [4] Broussous P., The building of GL(m,D) as a space of lattice functions, Preprint, King's College London, 1998. 
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  6. [6] Bushnell C.J., Kutzko P.C., The Admissible Dual of GL(N) via Compact Open Subgroups, Princeton University Press, 1993. Zbl0787.22016MR1204652
  7. [7] Bushnell C.J., Kutzko P.C., Semisimple types, Compositio Math.119 (1999) 53-97. Zbl0933.22027MR1711578
  8. [8] Bushnell C.J., Kutzko P.C., Smooth representations of reductive p-adic groups: structure theory via types, Proc. London Math. Soc. (3)77 (1998) 582-634. Zbl0911.22014MR1643417
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  11. [11] Kutzko P.C., Towards a classification of the supercuspidal representations of GLN, J. London Math. Soc. (2)37 (1988) 265-274. Zbl0678.22009MR928523
  12. [12] Lemaire B., Strates scindées pour un groupe réductif p-adique, C. R. Acad. Sci. Paris Sér. I Math.326 (4) (1998) 407-410. Zbl0909.22035MR1648959
  13. [13] Morris L.E., Fundamental G-strata for p-adic classical groups, Duke Math. J.64 (1991) 501-553. Zbl0799.22009MR1141284
  14. [14] Morris L.E., Tamely ramified supercuspidal representations of classical groups I: Filtrations, Ann. Sci. École Norm. Sup. (4)24 (6) (1991) 705-738. Zbl0756.20006MR1142907
  15. [15] Morris L.E., Level zero G-types, Compositio Math.118 (2) (1999) 135-157. Zbl0937.22011MR1713308
  16. [16] Moy A., Prasad G., Unrefined minimal K-types for p-adic groups, Invent. Math.116 (1994) 393-408. Zbl0804.22008MR1253198
  17. [17] Moy A., Prasad G., Jacquet functors and unrefined minimal K-types, Comment. Math. Helv.71 (1) (1996) 98-121. Zbl0860.22006MR1371680
  18. [18] Pan S.-Y., Yu J.-K., Unrefined minimal K-types for p-adic classical groups, Manuscript, Princeton University, 1998. 
  19. [19] Stevens S., Double coset decompositions and intertwining, Manuscripta Math.106 (2001) 349-364. Zbl0988.22008MR1869226
  20. [20] Stevens S., Intertwining and supercuspidal types for classical p-adic groups, Proc. London Math. Soc. (3)83 (2001) 120-140. Zbl1017.22012MR1829562

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