Some applications of Bruhat-Tits theory to harmonic analysis on a reductive p-adic group

Michigan Mathematical Journal

Volumn 50, Issue 2, 2002, Pages 241-261

  DeBacker, Stephen ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036383273     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1028575733     Document Type: Article

References (23)

1. J. Adler and S. DeBacker, Some applications of Bruhat-Tits theory to harmonic analysis on the Lie algebra of a reductive p-adic group, Michigan Math. J. 50 (2002), 263-286.
2. D. Barbasch and A. Moy, A new proof of the Howe conjecture, J. Amer. Math. Soc. 13 (2000), 639-650 (electronic).
3. I. N. Bernshtein and A. V. Zelevinskii, Representations of the group GL(n, F) where F is a non-archimedean local field, Russian Math. Surveys 31 (1976), 5-70.
4. A. Borel, Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math. 35 (1976), 233-259.
5. _, Linear algebraic groups, 2nd ed., Springer-Verlag, New York, 1991.
6. A. Borel and J. Tits, Ḡroupes réductifs, Inst. Hautes Études Sci. Publ. Math. 27 (1965), 55-150.
7. M. Bridson and A. Haefliger, Metric spaces of non-positive curvature, Grundlehren Math. Wiss., 319, Springer-Verlag, Berlin, 1999.
8. F. Bruhat and J. Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. 41 (1972), 5-251.
9. C. Bushnell and P. Kutzko, Smooth representations of reductive p-adic groups: structure theory via types, Proc. London Math. Soc. (3) 77 (1998), 582-634.
10. R. Carter, Simple groups of Lie type, Wiley, New York, 1989.
11. W. Casselman, Introduction to the theory of admissible representations of p-adic groups (to appear).
12. ℓ, ℓ a prime, Ph.D. thesis, University of Chicago, 1997.
13. _, Parameterizing nilpotent orbits via Bruhat-Tits theory, Ann. of Math. (2) (to appear).
14. N. Higson and V. Nistor, Cyclic homology of totally disconnected groups acting on buildings, J. Funct. Anal. 141 (1996), 466-495.
15. G. Kempf, Instability in invariant theory, Ann. of Math. (2) 108 (1978), 299-316.
16. A. Moy, Displacement functions on the Bruhat-Tits building, The mathematical legacy of Harish-Chandra (Baltimore, 1998), pp. 483-499, Amer. Math. Soc., Providence, RI, 2000.
17. A. Moy and G. Prasad, Unrefined minimal K-types for p-adic groups, Invent. Math. 116 (1994), 393-408.
18. _, Jacquet functors and unrefined minimal K-types, Comment. Math. Helv. 71 (1996), 98-121.
19. G. Prasad, Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits, Bull. Soc. Math. France 110 (1982), 197-202.
20. G. Rousseau, Immeubles des groupes réductifs sur les corps locaux, Thèse, Paris XI, 1977.
21. P. Schneider, The cyclic homology of p-adic reductive groups, J. Reine Angew. Math. 475 (1996), 39-54.
22. J. Tits, Reductive groups over p-adic fields, Automorphic forms, representations, and L-functions (Corvallis, OR, 1977), Proc. Sympos. Pure Math., 33, pp. 29-69, Amer. Math. Soc., Providence, RI, 1979.
23. G. Van Dijk, Computation of certain induced characters of p-adic groups, Math. Ann. 199 (1972), 229-240.