Homogeneity results for invariant distributions of a reductive p-adic group

 Access to full text

 Full (PDF)

1. [1] Adler J.D., Refined anisotropic K-types and supercuspidal representations, Pacific J. Math.185 (1998) 1-32. Zbl0924.22015MR1653184
2. [2] Adler J., DeBacker S., Some applications of Bruhat–Tits theory to harmonic analysis on the Lie algebra of a reductive p-adic group, Mich. Math. J., to appear. Zbl1018.22013MR1914064
3. [3] Adler J., Roche A., An intertwining result for p-adic groups, Canad. J. Math.52 (3) (2000) 449-467. Zbl1160.22304MR1758228
4. [4] Barbasch D., Moy A., A new proof of the Howe conjecture, J. Amer. Math. Soc.13 (3) (2000) 639-650, (electronic). Zbl0976.22008MR1758757
5. [5] Barbasch D., Moy A., Local character expansions, Ann. Sci. École Norm. Sup. (4)30 (5) (1997) 553-567. Zbl0885.22021MR1474804
6. [6] Carter R., Finite Groups of Lie Type. Conjugacy Classes and Complex Characters, Wiley Classics Library, John Wiley & Sons, Chichester, 1993, Reprint of the 1985 original. Zbl0567.20023MR1266626
7. [7] Clozel L., Characters of non-connected, reductive p-adic groups, Canad. J. Math.39 (1987) 149-167. Zbl0629.22008MR889110
8. [8] DeBacker S., The Hales–Moy–Prasad Conjecture for Sp4, in: Sally P.J. (Ed.), Analyse harmonique sur le groupe SP4 (CIRM Luminy, 1998), University of Chicago Lecture Notes in Representation Theory, 1999. 
9. [9] DeBacker S., Homogeneity of certain invariant distributions on the Lie algebra of p-adic GLn, Compositio Math.124 (1) (2000) 11-16. Zbl0964.22015MR1797651
10. [10] DeBacker S., On supercuspidal characters of GLℓ, ℓ a prime, Ph.D. thesis, The University of Chicago, 1997. 
11. [11] DeBacker S., Parametrizing nilpotent orbits via Bruhat–Tits theory, Ann. of Math., to appear. Zbl1015.20033MR1935848
12. [12] DeBacker S., Some applications of Bruhat–Tits theory to harmonic analysis on a reductive p-adic group, Mich. Math. J., to appear. Zbl1018.22014MR1914064
13. [13] Harish-Chandra, Admissible Invariant Distributions on Reductive p-Adic Groups, University Lecture Series, 16, American Mathematical Society, Providence, RI, 1999, Preface and notes by Stephen DeBacker and Paul J. Sally, Jr. Zbl0928.22017MR1702257
14. [14] Harish-Chandra, A submersion principle and its applications, in: Geometry and Analysis – Papers Dedicated to the Memory of V.K. Patodi, Springer-Verlag, 1981, pp. 95-102. Zbl0485.22023MR653948
15. [15] Howe R., The Fourier transform and germs of characters (case of Gln over a p-adic field), Math. Ann.208 (1974) 305-322. Zbl0266.43007MR342645
16. [16] Huntsinger R., Some aspects of invariant harmonic analysis on the Lie algebra of a reductive p-adic group, Ph.D. thesis, The University of Chicago, 1997. 
17. [17] Mœglin C., Waldspurger J.-L., Modèles de Whittaker dégénérés pour des groupes p-adiques, Math. Z.196 (3) (1987) 427-452. Zbl0612.22008
18. [18] Moy A., personal communication. 
19. [19] Moy A., Prasad G., Jacquet functors and unrefined minimal K-types, Comment. Math. Helvetici71 (1996) 98-121. Zbl0860.22006MR1371680
20. [20] Moy A., Refined cosets in the Lie algebra of a reductive p-adic group, preprint, 1999. 
21. [21] Moy A., Unrefined minimal K-types for p-adic groups, Inv. Math.116 (1994) 393-408. Zbl0804.22008MR1253198
22. [22] Ranga Rao R., Orbital integrals in reductive groups, Ann. of Math.96 (1972) 505-510. Zbl0302.43002MR320232
23. [23] Sally P.J., Shalika J., Characters of the discrete series of representations of SL(2) over a local field, Proc. Nat. Acad. Sci. USA61 (1968) 1231-1237. Zbl0198.18203MR237713
24. [24] Tits J., Reductive groups over p-adic fields, in: Borel A., Casselman W. (Eds.), Automorphic Forms, Representations, and L-Functions, Proc. Symp. Pure Math., 33, American Mathematical Society, Providence, RI, 1979, pp. 29-69. Zbl0415.20035MR546588
25. [25] Waldspurger J.-L., Homogénéité de certaines distributions sur les groupes p-adiques, Inst. Hautes Études Sci. Publ. Math.81 (1995) 25-72. Zbl0841.22009MR1361755
26. [26] Waldspurger J.-L., Intégrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifiés p-adiques, Astérisque269 (2001). Zbl0965.22012MR1817880
27. [27] Waldspurger J.-L., Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke, Bull. Soc. Math. France124 (1) (1996) 1-34. Zbl0876.22013MR1395005
28. [28] Waldspurger J.-L., Quelques résultats de finitude concernant les distributions invariantes sur les algèbres de Lie p-adiques, preprint, 1993. 

1. Ju-Lee Kim, Dual Blobs and Plancherel Formulas