On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups

Memoirs of the American Mathematical Society

Volumn , Issue 635, 1998, Pages 1-101

  Assem, Magdy ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032109061     PISSN: 00659266     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (35)

1. [1] M. Assem, Some results on unipotent orbital integrals, Compositio Mathematica 78, (1991), 37-78.
2. [2] M. Assem, Unipotent orbital integrals of spherical functions on p-adic 4 × 4 symplectic groups, J. reine angew. Math. 437, (1993), 181-216.
3. [3] M. Assem, A note on rationality of orbital integrals on a p-adic group, Manuscripta Mathematica 89, (1996), 267-279.
4. [4] M. Assem, Endoscopy and the Fourier transform of minimal unipotent orbital integrals for spherical functions on p-adic SO(2n + 1), J. reine angew. Math., to appear.
5. [5] M. Assem, Remarks on stability of unipotent orbital integrals in p-adic groups, (1996), preprint.
6. [6] R. Carter, Finite Groups of Lie Type: Conjugacy Classes and Complex Characters, John Wiley, (1985).
7. [7] T. Hales, A simple definition of transfer factors for unramified groups, Contemporary Math. 145, (1993), 109-134.
8. [8] T. Hales, The twisted endoscopy of GL(4) and GL(5): Transfer of Shalika germs, Duke Math. J. 76, (1994), 595-632.
9. [9] W. Hesselink, Polarizations in the Classical Groups, Math Z. 160, (1978), 217-234.
10. [10] J. -I. Igusa, Some results on p-adic complex powers, Amer. J. Math. 106, (1984), 1013-1032.
11. [11] J. -I. Igusa, B-functions and p-adic integrals, Algebraic Analysis, Vol. I, Academic Press, (1988), 231-241.
12. [12] O. Körner, Die Maße der Geschlechter quadratischen Formen vom Rang ≤ 3 in quadratischen Zahlkörpern, Math. Ann. 193, (1971), 279-314.
13. [13] R. Kottwitz, Tamagawa numbers, Ann. of Math. 127, (1986), 629-646.
14. [14] R. Kottwitz, Rational Conjugacy Classes in Reductive Groups, Duke Math. J. (4) 49, (1982), 785-806.
15. [15] R. Kottwitz, Stable trace formula: Elliptic Singular Terms, Math. Ann. 275, (1986), 365-399.
16. [16] R. Kottwitz, (in preparation).
17. [17] R. Langlands, Les debuts d'une formule des traces stable, Vol. 13, Publications math. de l'Univ. de Paris VII, (1983).
18. [18] R. Langlands, Remarks on Igusa theory and real orbital integrals, The Zeta Functions of Picard Modular Surfaces, (1992), 335-347, Les Publications CRM, (1992).
19. [19] R. Langlands, and D. Shelstad, On the definition of the transfer factors, Math. Ann. 278, (1987), 219-271.
20. [20] G. Lusztig, Characters of Reductive Groups over A Finite Field, Annals of Math. Studies 107, (1984).
21. [21] G. Lusztig, and J. Spaltenstein, Induced unipotent classes, J. London Math. Soc. 19, (1979), 41-52.
22. [22] I. Macdonald, Spherical Functions on a Group of p-adic Type, Ramanujan Institute Publications, Madras, (1971).
23. [23] I. Macdonald, The Poincaré series of a Coxeter group, Math. Ann. 199, (1972), 161-174.
24. [24] C. Moeglin, and J. -L. Waldspurger, Modéles de Whittaker dégenérés pour des groupes p-adiques, Math Z. 196, (1987), 427-452.
25. [25] O.T. O'Meara, Introduction to Quadratic Forms, Die Grundlehren der math. Wissenschaften. Band 117, (1971).
26. [26] G. Pall, The weight of a genus of positive n-ary quadratic forms, Proc. Sympos. Pure Math., 8, (1965), 95-105.
27. [27] R. Ranga Rao, Orbital integrals in reductive groups, Ann. of Math. 96, (1972), 505-510.
28. [28] M. Sato, and T. Kimura, A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J. 65, (1977), 1-155.
29. e édition, (1988).
30. [30] J. Spaltenstein, Classes Unipotents et Sous-Groups des Borel, Springer Lecture Notes in Math. 946, (1982).
31. [31] T. A. Springer, ad R. Steinberg, Conjugacy classes, Seminar on algebraic groups and related finite groups. Lecture Notes in Math. 131, (1969).
32. [32] M-F. Vignéras, Caractérisation des intégrales orbitales sur un groupe réductif p-adique, J. Fac. Sci. U. of Tokyo 28 Sec. 14 (1982), 945-961.
33. [33] J.-L. Waldspurger, Quelques resultats de finitude concernant les distributions invariantes sur les algèbres de Lie p-adiques, (1993), preprint.
34. [34] J.-L. Waldspurger, Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke, Bull. Soc. Math. France 124, (1996), 1-34.
35. [35] J.-L. Waldspurger, Le lemme fondamental implique le transfert, Compositio Mathematica 105, (1997), 153-236.