@article{ASENS_2002_4_35_3_391_0, author = {DeBacker, Stephen}, title = {Homogeneity results for invariant distributions of a reductive $p$-adic group}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {391--422}, publisher = {Elsevier}, volume = {Ser. 4, 35}, number = {3}, year = {2002}, doi = {10.1016/s0012-9593(02)01094-7}, zbl = {0999.22013}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(02)01094-7/} }
TY - JOUR AU - DeBacker, Stephen TI - Homogeneity results for invariant distributions of a reductive $p$-adic group JO - Annales scientifiques de l'École Normale Supérieure PY - 2002 SP - 391 EP - 422 VL - 35 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(02)01094-7/ DO - 10.1016/s0012-9593(02)01094-7 LA - en ID - ASENS_2002_4_35_3_391_0 ER -
%0 Journal Article %A DeBacker, Stephen %T Homogeneity results for invariant distributions of a reductive $p$-adic group %J Annales scientifiques de l'École Normale Supérieure %D 2002 %P 391-422 %V 35 %N 3 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(02)01094-7/ %R 10.1016/s0012-9593(02)01094-7 %G en %F ASENS_2002_4_35_3_391_0
DeBacker, Stephen. Homogeneity results for invariant distributions of a reductive $p$-adic group. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 35 (2002) no. 3, pp. 391-422. doi : 10.1016/s0012-9593(02)01094-7. http://archive.numdam.org/articles/10.1016/s0012-9593(02)01094-7/
[1] Refined anisotropic K-types and supercuspidal representations, Pacific J. Math. 185 (1998) 1-32. | MR | Zbl
,[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. | MR | Zbl
[3] An intertwining result for p-adic groups, Canad. J. Math. 52 (3) (2000) 449-467. | MR | Zbl
, ,[4] A new proof of the Howe conjecture, J. Amer. Math. Soc. 13 (3) (2000) 639-650, (electronic). | MR | Zbl
, ,[5] Local character expansions, Ann. Sci. École Norm. Sup. (4) 30 (5) (1997) 553-567. | Numdam | MR | Zbl
, ,[6] Finite Groups of Lie Type. Conjugacy Classes and Complex Characters, Wiley Classics Library, John Wiley & Sons, Chichester, 1993, Reprint of the 1985 original. | MR | Zbl
,[7] Characters of non-connected, reductive p-adic groups, Canad. J. Math. 39 (1987) 149-167. | MR | Zbl
,[8] The Hales-Moy-Prasad Conjecture for Sp4, in: (Ed.), Analyse harmonique sur le groupe SP4 (CIRM Luminy, 1998), University of Chicago Lecture Notes in Representation Theory, 1999.
,[9] Homogeneity of certain invariant distributions on the Lie algebra of p-adic GLn, Compositio Math. 124 (1) (2000) 11-16. | MR | Zbl
,[10] DeBacker S., On supercuspidal characters of GLℓ, ℓ a prime, Ph.D. thesis, The University of Chicago, 1997.
[11] DeBacker S., Parametrizing nilpotent orbits via Bruhat-Tits theory, Ann. of Math., to appear. | MR | Zbl
[12] DeBacker S., Some applications of Bruhat-Tits theory to harmonic analysis on a reductive p-adic group, Mich. Math. J., to appear. | MR | Zbl
[13] 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. | MR | Zbl
,[14] 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. | MR | Zbl
,[15] The Fourier transform and germs of characters (case of Gln over a p-adic field), Math. Ann. 208 (1974) 305-322. | EuDML | MR | Zbl
,[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. | MR
[17] Modèles de Whittaker dégénérés pour des groupes p-adiques, Math. Z. 196 (3) (1987) 427-452. | EuDML | MR | Zbl
, ,[18] Moy A., personal communication.
[19] Jacquet functors and unrefined minimal K-types, Comment. Math. Helvetici 71 (1996) 98-121. | EuDML | MR | Zbl
, ,[20] Moy A., Refined cosets in the Lie algebra of a reductive p-adic group, preprint, 1999.
[21] Unrefined minimal K-types for p-adic groups, Inv. Math. 116 (1994) 393-408. | EuDML | MR | Zbl
,[22] Orbital integrals in reductive groups, Ann. of Math. 96 (1972) 505-510. | MR | Zbl
,[23] Characters of the discrete series of representations of SL(2) over a local field, Proc. Nat. Acad. Sci. USA 61 (1968) 1231-1237. | MR | Zbl
, ,[24] Reductive groups over p-adic fields, in: , (Eds.), Automorphic Forms, Representations, and L-Functions, Proc. Symp. Pure Math., 33, American Mathematical Society, Providence, RI, 1979, pp. 29-69. | MR | Zbl
,[25] Homogénéité de certaines distributions sur les groupes p-adiques, Inst. Hautes Études Sci. Publ. Math. 81 (1995) 25-72. | EuDML | Numdam | MR | Zbl
,[26] Intégrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifiés p-adiques, Astérisque 269 (2001). | Numdam | MR | Zbl
,[27] Quelques questions sur les intégrales orbitales unipotentes et les algèbres de Hecke, Bull. Soc. Math. France 124 (1) (1996) 1-34. | EuDML | Numdam | MR | Zbl
,[28] Waldspurger J.-L., Quelques résultats de finitude concernant les distributions invariantes sur les algèbres de Lie p-adiques, preprint, 1993.
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