Duke Mathematical Journal

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.
First Page: Show Hide
Primary Subjects: 22E47
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

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
[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

2012 © Duke University Press

Duke Mathematical Journal

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?