Metaplectic correspondence
Publications Mathématiques de l'IHÉS, Volume 64 (1986), pp. 53-110.
@article{PMIHES_1986__64__53_0,
     author = {Flicker, Yuval Z. and Kazhdan, David A.},
     title = {Metaplectic correspondence},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {53--110},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {64},
     year = {1986},
     mrnumber = {876160},
     zbl = {0616.10024},
     language = {en},
     url = {http://archive.numdam.org/item/PMIHES_1986__64__53_0/}
}
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Flicker, Yuval Z.; Kazhdan, David A. Metaplectic correspondence. Publications Mathématiques de l'IHÉS, Volume 64 (1986), pp. 53-110. http://archive.numdam.org/item/PMIHES_1986__64__53_0/

[B] J. Bernstein, P-invariant distributions, Springer Lecture Notes, 1041 (1984), 50-102. | MR | Zbl

[BD] J. Bernstein, rédigé par P. DELIGNE, Le «centre» de Bernstein, in [BDKV].

[BDK] J. Bernstein, P. Deligne, D. Kazhdan, Trace Paley-Wiener theorem for reductive p-adic groups, J. d'Anal. Math., 1986, to appear. | MR | Zbl

[BDKV] J. Bernstein, P. Deligne, D. Kazhdan, M.-F. Vigneras, Représentations des groupes réductifs sur un corps local, Paris, Hermann, 1984. | Zbl

[BZ] I. N. Bernstein, A. V. Zelevinsky, Induced representations of reductive p-adic groups I, Ann. Sci. ENS, 10 (1977), 441-472. | Numdam | MR | Zbl

[Bo] A. Borel, Admissible representations with vectors fixed under an Iwahori subgroup, Invent. Math., 35 (1976), 233-259. | MR | Zbl

[BJ] A. Borel, H. Jacquet, Automorphic forms and automorphic representations, Proc. Symp. Pure Math., 33 (1979), I, 189-208. | MR | Zbl

[BW] A. Borel, N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Ann. of Math. Studies, 94 (1980). | MR | Zbl

[BN] N. Bourbaki, Groupes et algèbres de Lie, chap. IV, V, VI, Paris, Hermann, 1968.

[C] W. Casselman, Characters and Jacquet modules, Math. Ann., 230 (1977), 101-105. | EuDML | MR | Zbl

[C'] W. Casselman, Introduction to the theory of admissible representations of p-adic reductive groups, unpublished.

[CD] L. Clozel, P. Delorme, Le théorème de Paley-Wiener invariant pour les groupes de Lie réductifs, Invent. Math., 77 (1984), 427-453. | EuDML | MR | Zbl

[DKV] P. Deligne, D. A. Kazhdan, M.-F. Vigneras, Représentations des algèbres centrales simples p-adiques, in [BDKV]. | Zbl

[D] G. Van Dijk, Computations of certain induced characters of p-adic groups, Math. Ann., 199 (1972), 229-240. | EuDML | MR | Zbl

[F] Y. Z. Flicker, Automorphic forms on covering groups of GL(2), Invent. Math., 57 (1980), 119-182. | EuDML | MR | Zbl

[F'] Y. Z. Flicker, The trace formula and base change for GL(3), Springer Lecture Notes, 927 (1982), see also : Stable and labile base change for U(2), Duke Math. J., 42 (1982), 691-729. | MR | Zbl

[F''] Y. Z. Flicker, (I) Rigidity for automorphic forms, (2) Representations of simple algebras, mimeographed notes, based on a course at Harvard University, fall 1985. | Zbl

['F] Y. Z. Flicker, On twisted lifting, Trans. AMS, 290 (1985), 161-178. | MR | Zbl

[''F] Y. Z. Flicker, On the Symmetric Square, preprint, Harvard, 1986. | Zbl

[GK] I. N. Gelfand, D. A. Kazhdan, Representations of the group GL(n, K) where K is a local field, in Lie groups and their representations, Budapest, Halsted Press, 1975, 95-118. | MR | Zbl

[H] Harish-Chandra, Admissible invariant distributions on reductive p-adic groups, Queen's Papers in Pure and Applied Math., 48 (1978), 281-346. | MR | Zbl

[H'] Harish-Chandra, Harmonic analysis on reductive p-adic groups, Proc. Symp. Pure Math., XXVI (1973), 167-192. | MR | Zbl

[HD] Harish-Chandra, notes by G. Van Dijk, Harmonic analysis on reductive p-adic groups, Springer Lecture Notes, 162 (1970). | MR | Zbl

[Ho] R. Howe, The Fourier transform and germs of characters (case of GLn over a p-adic field), Math. Ann., 208 (1974), 305-322. | EuDML | MR | Zbl

[IM] N. Iwahori, H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publ. Math. IHES, 25 (1965), 5-48. | EuDML | Numdam | MR | Zbl

[J] H. Jacquet, On the residual spectrum of GL(n), Springer Lecture Notes, 1041 (1984), 185-208. | MR | Zbl

[JS] H. Jacquet, J. Shalika, On Euler products and the classification of automorphic forms II, Amer. J. Math., 103 (1981), 777-815. | MR | Zbl

[K] D. Kazhdan, On lifting, Springer Lecture Notes, 1041 (1984), 209-249. | MR | Zbl

[K'] D. Kazhdan, Cuspidal geometry on p-adic groups, J. d'Anal. Math., 1986, to appear. | MR | Zbl

[KP] D. A. Kazhdan, S. J. Patterson, Metaplectic forms, Publ. Math. IHES, 59 (1984), 35-142. | EuDML | Numdam | MR | Zbl

[KP'] D. A. Kazhdan, S. J. Patterson, Towards a generalized Shimura correspondance, Advances in Math., 60 (1986), 161-234. | MR | Zbl

[L] G. Lusztig, Some examples of square-integrable representations of semi-simple p-adic groups, Trans. AMS, 277 (1983), 623-653. | MR | Zbl

[Mi] J. Milnor, An introduction to algebraic K-theory, Ann. of Math. Studies, 72 (1971). | MR | Zbl

[Mo] C. Moore, Group extensions of p-adic and adelic linear groups, Publ. Math. IHES, 35 (1968), 157-222. | EuDML | Numdam | MR | Zbl

[R] R. R. Rao, Orbital integrals in reductive groups, Ann. of Math., 96 (1972), 505-510. | MR | Zbl

[S] A. J. Silberger, Introduction to harmonic analysis on reductive p-adic groups, Princeton Math. Notes, 23 (1979). | MR | Zbl

[S'] A. J. Silberger, The Knapp-Stein dimension theorem for p-adic groups, Proc. AMS, 68 (1978), 243-266 ; 69 (1979), 169-170. | MR | Zbl

[St] R. Steinberg, Lectures on Chevalley groups, Yale Lecture Notes, 1968. | MR | Zbl

[V] M.-F. Vigneras, Caractérisation des intégrales orbitales sur un groupe réductif p-adique, J. Fac. Sci. U. Tokyo, 28 (14) (1982), 945-961. | MR | Zbl

[Vo] D. A. Vogan, Gelfand-Kirillov dimension for Harish-Chandra modules, Invent. Math., 48 (1978), 75-98. | EuDML | MR | Zbl

[Z] A. V. Zelevinsky, Induced representations of reductive p-adic groups II, Ann. Sci. ENS, 13 (1980), 165-210. | EuDML | Numdam | MR | Zbl