Voir la notice de l'article provenant de la source Cambridge University Press
Luo, Caihua. Spherical Fundamental Lemma for Metaplectic Groups. Canadian journal of mathematics, Tome 70 (2018) no. 4, pp. 898-924. doi: 10.4153/CJM-2017-013-2
@article{10_4153_CJM_2017_013_2,
author = {Luo, Caihua},
title = {Spherical {Fundamental} {Lemma} for {Metaplectic} {Groups}},
journal = {Canadian journal of mathematics},
pages = {898--924},
year = {2018},
volume = {70},
number = {4},
doi = {10.4153/CJM-2017-013-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-013-2/}
}
[Art78] Arthur, J. G., A trace formula for reductive groups. I. Terms associated to classes in G(ℚ). Duke Math. J. 45(1978), no. 4, 911–952. Google Scholar | DOI
[Art88] Arthur, J. G., The invariant trace formula. II. Global theory. J. Amer. Math. Soc. 1(1988), no. 3, 501–554. Google Scholar | DOI
[ArtO5] Arthur, J. G., An introduction to the trace formula. In: Harmonic analysis, the trace formula, and Shimura varieties, Clay Math. Proc., 4, American Mathematical Society, Providence, RI, 2005, pp. 1–263. Google Scholar
[CD84] Clozel, L. and Delorme, P., Le théoreme de Paley-Wiener invariant pour les groupes de Lie réductifs. Invent. Math. 77(1984), no. 3, 427–453. http://dx.doi.Org/10.1007/BF01388832 Google Scholar
[Clo85] Clozel, L., Sur une conjecture de Howe. I. Compositio Math. 56(1985), no. 1, 87–110. Google Scholar
[Clo89] Clozel, L., Orbital integrals on p-adic groups: a proof of the Howe conjecture. Ann. of Math. 129(1989), no. 2, 237–251. http://dx.doi.Org/10.2307/1971447 Google Scholar
[Clo90] Clozel, L., The fundamental lemma for stable base change. Duke Math. J. 61(1990), no. 1, 255–302. Google Scholar | DOI
[DG] Demazure, M. and Grothendieck, Alexandre, Schémas en groupes, Tome III: Structure des schémas en groupes réductifs. Lecture Notes in Mathematics, 153, Springer, New York, 1970, pp. 1962–1964. Google Scholar
[Duf75] Duflo, M., Représentations irréductibles des groupes semi-simples complexes. In: Analyse harmonique sur les groupes de Lie (Sém., Nancy-Strasbourg, 1973-75), Lectures Notes in Math., 497, Springer, Berlin, 1975, pp. 26–88. Google Scholar
[GGar] Gan, W. T. and Gao, F., The Langlands-Weissman program for Brylinski-Deligne extensions. Asterisque, to appear. Google Scholar
[GS12] Gan, W. T. and Savin, G., Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence. Compos. Math. 148(2012), no. 06, 1655–1694. http://dx.doi.Org/10.1112/S0010437X12000486 Google Scholar
[Hal95] Hales, T. C., On the fundamental lemma for standard endoscopy: reduction to unit elements. Canad. J. Math. 47(1995), no. 5, 974–994. Google Scholar | DOI
[HC59] Harish-Chandra, , Automorphic forms on a semisimple Lie group. Proc. Nat. Acad. Sci. U. S. A. 45(1959), 570–573. http://dx.doi.Org/10.1073/pnas.45.4.570 Google Scholar
[Key82] Keys, D., Reducibility of unramified unitary principal series representations of p-adic groups and class-1 representations. Math. Ann. 260(1982), no. 4, 397–402. Google Scholar | DOI
[Kot86] Kottwitz, R. E., Stable trace formula: elliptic singular terms. Math. Ann. 275(1986), no. 3, 365–399. Google Scholar | DOI
[KR00] Kottwitz, R. E. and Rogawski, J. D., The distributions in the invariant trace formula are supported on characters. Canad. J. Math. 52(2000), no. 4, 804–814. Google Scholar | DOI
[Kud96] Kudla, S., Notes on the local theta correspondence. 1996. http://www.math.toronto.edu/skudla/castle.pdf Google Scholar
[Lab0l] Labesse, J.-P., Nombres de Tamagawa des groupes réductifs quasi-connexes. Manuscripta Math. 104(2001), no. 4, 407–430. Google Scholar | DOI
[Lill] Li, W.-W., Transfert des intégrates orbitales pour legroupe métaplectique. Compos. Math. 147(2011), no. 2, 524–590. http://dx.doi.Org/10.1112/S0010437X10004963 Google Scholar
[Li12a] Li, W.-W., La formule des traces pour les revêtements de groupes réductifs connexes. II. Analyse harmonique locale. Ann. Sci. Ec. Norm. Super. 45(2012), no. 5, 787–859. Google Scholar | DOI
[Li12b] Li, W.-W., Le lemme fondamental pondéré pour le groupe métaplectique. Canad. J. Math. 64(2012), no. 3, 497–543. Google Scholar | DOI
[Li14a] Li, W.-W., La formule des traces pour les revêtements de groupes réductifs connexes. I. Le développement géométrique fin. J. Reine Angew. Math. 686(2014), 37–109. Google Scholar | DOI
[Li14b] Li, W.-W., La formule des traces pour les revêtements de groupes réductifs connexes. IV. Distributions invariantes. Ann. Inst. Fourier (Grenoble) 64(2014), no. 6, 2379–2448. Google Scholar | DOI
[Li15] Li, W.-W., Laformule des traces stable pour legroupe métaplectique: les termes elliptiques. Invent. Math. 202(2015), no. 2, 743–838. http://dx.doi.Org/10.1007/s00222-015-0577-9 Google Scholar
[Li16] Li, W.-W., Spectral transfer for metaplectic groups. I. Local character relations. J. Inst. Math. Jussieu, 1-99. http://dx.doi.Org/10.1017/S1474748016000384 Google Scholar
[LMW15] Lemaire, B., Mœglin, C., and Waldspurger, J.-L., Le lemme fondamental pour l'endoscopie tordue: réduction aux éléments unités. arxiv:1506.03383 Google Scholar
[LW15] Lemaire, B. and Waldspurger, J.-L., Le lemme fondamental pour l'endoscopie tordue: le cas où legroupe endoscopique non ramifié est un tore. arxiv:1511.08606 Google Scholar
[LP81] Lion, G. and Perrin, P., Extension des representations de groupes unipotents p-adiques Calculs d'obstructions. In: Noncommutative harmonic analysis and Lie groups (Marseille, 1980), Lecture Notes in Math., 880, Springer, Berlin-New York, 1981, pp. 337–356. Google Scholar
[Luoar] Luo, C., Howe finiteness conjecture for covering groups. Math. Res. Lett., to appear. Google Scholar
[Si179] Silberger, A. J., Introduction to harmonic analysis on reductive p-adic groups. Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73. Mathematical Notes, 23, Princeton University Press, Princeton, NJ; University of Tokyo Press, Tokyo, 1979. Google Scholar
[Szp13] Szpruch, D., Some irreducibility theorems of parabolic induction on the metaplectic group via the Langlands-Shahidi method. Israel J. Math. 195(2013), no. 2, 897–971. http://dx.doi.Org/10.1007/s11856-012-0140-y Google Scholar
[Tad83] Tadić, M., Harmonic analysis of spherical functions on reductive groups over p-adic fields. Pacific J. Math. 109(1983), no. 1, 215–235. http://dx.doi.Org/10.2140/pjm.1983.109.215 Google Scholar
[Vig82] Vignéras, M.-F., Caractérisation des intégrates orbitales sur un groupe réductif p-adique. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28(1982), 945–961. Google Scholar
[Wa103] Waldspurger, J.-L., La formule de Plancherel pour les groupes p-adiques. D'apres Harish-Chandra. J. Inst. Math. Jussieu 2(2003), no. 2, 235–333. http://dx.doi.Org/10.1017/S1474748003000082 Google Scholar
[Wei14] Weissman, M. H., Covers of tori over local and global fields. Amer. J. Math. 138(2016), no. 6, 1533–1573. Google Scholar | DOI
[Wei15] Weissman, M. H., L-groups and parameters for covering groups. arxiv:1507.01042 Google Scholar
Cité par Sources :