Metaplectic correspondences and unitary representations

 Access to full text

 Full (PDF)

1. [BM] D. Barbasch and A. Moy: A unitarity criterion for p-adic groups, Invent. Math.98 (1989), 19-37. Zbl0676.22012MR1010153
2. [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. Zbl0334.22012MR444849
3. [B2] A. Borel: Automorphic L-functions, Proceedings of Symposia in Pure Mathematics33 (1979), part 2, 27-61. Zbl0412.10017MR546608
4. [C1] W. Casselman: Introduction to the theory of admissible representations of p-adic reductive groups, preprint. 
5. [C2] W. Casselman: The unramified principal series of p-adic groups I. The spherical function, Compositio Mathematica40(3) (1980), 387-406. Zbl0472.22004MR571057
6. [CS] W. Casselman and J. Shalika: The unramified principal series of p-adic groups II. The Whittaker function, Compositio Mathematica41(2) (1980), 207-231. Zbl0472.22005MR581582
7. [FK] Y. Flicker and D. Kazhdan: Metaplectic correspondence, Publ. Math. IHES.64 (1986) 53-110. Zbl0616.10024MR876160
8. [G] S. Gelbart: Weil's Representation and the Spectrum of the Metaplectic Group, Lecture Notes in Mathematics530, Springer-Verlag, 1972. Zbl0365.22017
9. [H] J.-S. Huang:The unitary dual of the universal covering group of GL(n, R), to appear in Duke Mathematical Journal61(3) (1990), 705-745. Zbl0732.22010MR1084456
10. [KP] D. Kazhdan and S. Patterson: Metaplectic forms, Publ. Math. IHES59 (1984), 35-142. Zbl0559.10026MR743816
11. [KP'] D. Kazhdan and S. Patterson: Towards a generalized Shimura correspondence, Advances in Math., 60 (1986), 161-234. Zbl0616.10023MR840303
12. [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. Zbl0261.20025MR240214
13. [Mi] J. Milnor: An Introduction to Algebraic K-theory, Ann. of Math. Studies72 (1971). Zbl0237.18005MR349811
14. [Mo] C. Moore: Group extensions of p-adic and adelic linear groups', Publ. Math. IHES35 (1968), 157-222. Zbl0159.03203MR244258
15. [Sa] G. Savin: Local Shimura correspondence, Math. Ann.280 (1988), 185-190. Zbl0644.22007MR929534
16. [Si] A.J. Silberger: Introduction to Harmonic Analysis on Reductive p-adic Groups, Princeton Math. Note23 (1979). Zbl0458.22006MR544991
17. [Sp] T.A. Springer: Reductive groups, Proceedings of Symposia in Pure Mathematics33 (1979), part 1, 3-27. Zbl0416.20034MR546587
18. [T] J. Tits: Reductive groups over local fields, Proceedings of Symposia in Pure Mathematics33 (1979), part 1, 29-69. Zbl0415.20035MR546588
19. [W] A. Weil: Basic Number Theory, Die Grundlehren der mathematischen Wissenschaften144, Springer-Verlag, 1973. Zbl0267.12001
20. [V] D. Vogan: Unitarizability of certain series of representations, Ann. of Math.120 (1984), 147-197. Zbl0561.22010MR750719