Explicit realization of a metaplectic representation

Journal d'Analyse Mathematique - Tập 55 - Trang 17-39 - 1990
Y. Flicker1, D. Kazhdan2, G. Savin3
1Department of Mathematics, The Ohio State University, Columbus, USA
2Department of Mathematics, Harvard University, Cambridge, USA
3Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

Tài liệu tham khảo

I. Bernstein and A. Zelevinsky,Representations of the group GL(n, F)where F is a non-archimedean local field, Russ. Math. Surv.31 (1976), 1–68. I. Bernstein and A. Zelevinski,Induced representations of reductive groups I, Ann. Sci. Ec. Norm. Super.10 (1977), 441–472. W. Casselman,Characters and Jacquet modules, Math. Ann.230 (1977), 101–105. Y. Flicker,Automorphic forms on covering groups of GL(2), Invent. Math.57 (1980), 119–182. Y. Flicker,Explicit realization of a higher metaplectic representation, Indag. Math. (1990), to appear. Y. Flicker and D. Kazhdan,Metaplectic correspondence, Publ. Math. IHES64 (1987), 53–110. Y. Flicker and D. Kazhdan,On the symmetric square: Unstable local transfer, Invent. Math.91 (1988), 493–504. Y. Flicker and J. G. M. Mars,Summation formulae, automorphic realizations and a special value of Eisenstein series, J. Number Theory (1990), to appear. R. Howe and C. Moore,Asymptotic properties of unitary representations, J. Funct. Anal.32 (1979), 72–96. A. Kirillov,Elements of the Theory of Representations, Grundlehren 220, Springer-Verlag, Berlin, 1976. D. Kazhdan and S. J. Patterson,Metaplectic forms, Publ. Math. IHES59 (1984), 35–142. D. Kazhdan and S. J. Patterson,Towards a generalized Shimura correspondence, Adv. in Math.60 (1986), 161–234. J. Milnor,An introduction to algebraic K-theory, Ann. Math. Stud.72 (1971). P. Torasso, Quantification géométrique, opérateurs d’entrelacements et représentations unitaires de SL(3, R), Acta Math.150 (1983), 153–242; voir aussi:Quantification géométrique et représentations de SL3(R), C. R. Acad. Sci. Paris291 (1980), 185–188. A. Weil,Sur certains groupes d’opérateurs unitaires, Acta Math.111 (1964), 143–211.