Kazhdan-Patterson lifting for $GL(n,\\mathbb{R)$
Jeffrey Adams and Jing-Song Huang
Source: Duke Math. J. Volume 89, Number 3
(1997), 423-444.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241203
Mathematical Reviews number (MathSciNet): MR1470338
Zentralblatt MATH identifier: 0883.22017
Digital Object Identifier: doi:10.1215/S0012-7094-97-08919-5
References
[1] T. Bröcker and T. tom Dieck, Representations of compact Lie groups, Graduate Texts in Mathematics, vol. 98, Springer-Verlag, New York, 1985.
Mathematical Reviews (MathSciNet): MR86i:22023
Zentralblatt MATH: 0581.22009
[2] Y. Flicker, Automorphic forms on covering groups of $\rm GL(2)$, Invent. Math. 57 (1980), no. 2, 119–182.
Mathematical Reviews (MathSciNet): MR81m:10057
Zentralblatt MATH: 0431.10014
Digital Object Identifier: doi:10.1007/BF01390092
[3] J.-S. Huang, The unitary dual of the universal covering group of $\rm GL(n,\bf R)$, Duke Math. J. 61 (1990), no. 3, 705–745.
Mathematical Reviews (MathSciNet): MR92f:22026
Zentralblatt MATH: 0732.22010
Digital Object Identifier: doi:10.1215/S0012-7094-90-06126-5
Project Euclid: euclid.dmj/1077296990
[4] D. A. Kazhdan and Y. Flicker, Metaplectic correspondence, Inst. Hautes Études Sci. Publ. Math. (1986), no. 64, 53–110.
Mathematical Reviews (MathSciNet): MR88d:11049
Zentralblatt MATH: 0616.10024
Digital Object Identifier: doi:10.1007/BF02699192
[5] D. A. Kazhdan and S. J. Patterson, Metaplectic forms, Inst. Hautes Études Sci. Publ. Math. (1984), no. 59, 35–142.
Mathematical Reviews (MathSciNet): MR85g:22033
Zentralblatt MATH: 0559.10026
Digital Object Identifier: doi:10.1007/BF02698770
[6] D. A. Kazhdan and S. J. Patterson, Towards a generalized Shimura correspondence, Adv. in Math. 60 (1986), no. 2, 161–234.
Mathematical Reviews (MathSciNet): MR87m:22050
Zentralblatt MATH: 0616.10023
Digital Object Identifier: doi:10.1016/S0001-8708(86)80010-X
[7] A. Knapp and D. Vogan, Cohomological induction and unitary representations, Princeton Mathematical Series, vol. 45, Princeton University Press, Princeton, NJ, 1995.
Mathematical Reviews (MathSciNet): MR96c:22023
Zentralblatt MATH: 0863.22011
[8] H. Matsumoto, Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. Sci. École Norm. Sup. (4) 2 (1969), 1–62.
Mathematical Reviews (MathSciNet): MR39:1566
Zentralblatt MATH: 0261.20025
[9] R. Ranga Rao, On some explicit formulas in the theory of Weil representation, Pacific J. Math. 157 (1993), no. 2, 335–371.
Mathematical Reviews (MathSciNet): MR94a:22037
Zentralblatt MATH: 0794.58017
Project Euclid: euclid.pjm/1102634748
[10] E. M. Stein, Analysis in matrix spaces and some new representations of $\rm SL(N,\,C)$, Ann. of Math. (2) 86 (1967), 461–490.
Mathematical Reviews (MathSciNet): MR36:2749
Zentralblatt MATH: 0188.45303
Digital Object Identifier: doi:10.2307/1970611
JSTOR: links.jstor.org
[11] M. Tadić, Correspondence on characters of irreducible unitary representations of $\rm GL(n,\bf C)$, Math. Ann. 305 (1996), no. 3, 419–438.
Mathematical Reviews (MathSciNet): MR97f:22026
Zentralblatt MATH: 0854.22020
Digital Object Identifier: doi:10.1007/BF01444232
[12] M. Tadić, On characters of irreducible unitary representations of general linear groups, Abh. Math. Sem. Univ. Hamburg 65 (1995), 341–363.
Mathematical Reviews (MathSciNet): MR96m:22039
Zentralblatt MATH: 0856.22026
Digital Object Identifier: doi:10.1007/BF02953339
[13] D. Vogan, Irreducible characters of semisimple Lie groups. I, Duke Math. J. 46 (1979), no. 1, 61–108.
Mathematical Reviews (MathSciNet): MR80g:22016
Zentralblatt MATH: 0398.22021
Digital Object Identifier: doi:10.1215/S0012-7094-79-04605-2
Project Euclid: euclid.dmj/1077313255
[14] D. Vogan, Representations of real reductive Lie groups, Progress in Mathematics, vol. 15, Birkhäuser Boston, Mass., 1981.
Mathematical Reviews (MathSciNet): MR83c:22022
Zentralblatt MATH: 0469.22012
[15] D. Vogan, Singular unitary representations, Noncommutative harmonic analysis and Lie groups (Marseille, 1980), Lecture Notes in Math., vol. 880, Springer, Berlin, 1981, pp. 506–535.
Mathematical Reviews (MathSciNet): MR83k:22036
Zentralblatt MATH: 0464.22007
[16] D. Vogan, The unitary dual of $\rm GL(n)$ over an Archimedean field, Invent. Math. 83 (1986), no. 3, 449–505.
Mathematical Reviews (MathSciNet): MR87i:22042
Zentralblatt MATH: 0598.22008
Digital Object Identifier: doi:10.1007/BF01394418
[17] D. P. Zhelobenko, Garmonicheskii analiz na poluprostykh kompleksnykh gruppakh Li, Izdat. “Nauka”, Moscow, 1974, in Russian.
Mathematical Reviews (MathSciNet): MR58:28308
Zentralblatt MATH: 0341.22001
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