Metaplectic correspondences and unitary representations
Compositio Mathematica, Volume 80 (1991) no. 3, p. 309-322
@article{CM_1991__80_3_309_0,
     author = {Huang, Jing-Song},
     title = {Metaplectic correspondences and unitary representations},
     journal = {Compositio Mathematica},
     publisher = {Kluwer Academic Publishers},
     volume = {80},
     number = {3},
     year = {1991},
     pages = {309-322},
     zbl = {0760.22025},
     mrnumber = {1134258},
     language = {en},
     url = {http://www.numdam.org/item/CM_1991__80_3_309_0}
}
Metaplectic correspondences and unitary representations. Compositio Mathematica, Volume 80 (1991) no. 3, pp. 309-322. http://www.numdam.org/item/CM_1991__80_3_309_0/

[BM] D. Barbasch and A. Moy: A unitarity criterion for p-adic groups, Invent. Math. 98 (1989), 19-37. | MR 1010153 | Zbl 0676.22012

[B1] A. Borel: Admissible representations of semi-simple groups over a local field with vectors fixed under an Iwahori subgroup, Invent. Math. 35 (1976), 233-259. | MR 444849 | Zbl 0334.22012

[B2] A. Borel: Automorphic L-functions, Proceedings of Symposia in Pure Mathematics 33 (1979), part 2, 27-61. | MR 546608 | Zbl 0412.10017

[C1] W. Casselman: Introduction to the theory of admissible representations of p-adic reductive groups, preprint.

[C2] W. Casselman: The unramified principal series of p-adic groups I. The spherical function, Compositio Mathematica 40(3) (1980), 387-406. | Numdam | MR 571057 | Zbl 0472.22004

[CS] W. Casselman and J. Shalika: The unramified principal series of p-adic groups II. The Whittaker function, Compositio Mathematica 41(2) (1980), 207-231. | Numdam | MR 581582 | Zbl 0472.22005

[FK] Y. Flicker and D. Kazhdan: Metaplectic correspondence, Publ. Math. IHES. 64 (1986) 53-110. | Numdam | MR 876160 | Zbl 0616.10024

[G] S. Gelbart: Weil's Representation and the Spectrum of the Metaplectic Group, Lecture Notes in Mathematics 530, Springer-Verlag, 1972. | Zbl 0365.22017

[H] J.-S. Huang:The unitary dual of the universal covering group of GL(n, R), to appear in Duke Mathematical Journal 61(3) (1990), 705-745. | MR 1084456 | Zbl 0732.22010

[KP] D. Kazhdan and S. Patterson: Metaplectic forms, Publ. Math. IHES 59 (1984), 35-142. | Numdam | MR 743816 | Zbl 0559.10026

[KP'] D. Kazhdan and S. Patterson: Towards a generalized Shimura correspondence, Advances in Math., 60 (1986), 161-234. | MR 840303 | Zbl 0616.10023

[Ma] H. Matsumoto: Sur les sous-groupes arithmétiques des groupes semi-simple déployés, Ann. scient. Ec. Norm. Sup., 4e série, t.2, 1969, 1-62. | Numdam | MR 240214 | Zbl 0261.20025

[Mi] J. Milnor: An Introduction to Algebraic K-theory, Ann. of Math. Studies 72 (1971). | MR 349811 | Zbl 0237.18005

[Mo] C. Moore: Group extensions of p-adic and adelic linear groups', Publ. Math. IHES 35 (1968), 157-222. | Numdam | MR 244258 | Zbl 0159.03203

[Sa] G. Savin: Local Shimura correspondence, Math. Ann. 280 (1988), 185-190. | MR 929534 | Zbl 0644.22007

[Si] A.J. Silberger: Introduction to Harmonic Analysis on Reductive p-adic Groups, Princeton Math. Note 23 (1979). | MR 544991 | Zbl 0458.22006

[Sp] T.A. Springer: Reductive groups, Proceedings of Symposia in Pure Mathematics 33 (1979), part 1, 3-27. | MR 546587 | Zbl 0416.20034

[T] J. Tits: Reductive groups over local fields, Proceedings of Symposia in Pure Mathematics 33 (1979), part 1, 29-69. | MR 546588 | Zbl 0415.20035

[W] A. Weil: Basic Number Theory, Die Grundlehren der mathematischen Wissenschaften 144, Springer-Verlag, 1973. | Zbl 0267.12001

[V] D. Vogan: Unitarizability of certain series of representations, Ann. of Math. 120 (1984), 147-197. | MR 750719 | Zbl 0561.22010