|
Howe correspondence for real unitary groups II
Author(s):
Annegret
Paul
Journal:
Proc. Amer. Math. Soc.
128
(2000),
3129-3136.
MSC (2000):
Primary 22E46
Posted:
April 7, 2000
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
A previous paper by the author describes the Howe correspondence for dual pairs of the form  with  , in terms of Langlands parameters. We extend these results to the case  .
References:
-
- [AB]
- J. Adams and D. Barbasch, Dual pair correspondence for complex groups, J. Func. Anal. 132 (1) (1995), 1-42. MR 96h:22003
- [H]
- R. Howe, Transcending classical invariant theory, J. of the Am. Math. Soc. 2 (3) (July 1989), 535-552. MR 90k:22016
- [K]
- S. Kudla, On the local theta correspondence, Invent. Math. 83 (1986), 229-255. MR 87e:22037
- [KR]
- S. Kudla and S. Rallis, First occurrence in the theta correspondence, Notes for a 20 minute talk at the AMS Meeting at Northeastern University, October 8, 1995.
- [L]
- J.-S. Li, Local theta lifting for unitary representations with non-zero cohomology, Duke Math. J. 61 (1990), 913-937. MR 92f:22024
- [P1]
- A. Paul, Howe correspondence for real unitary groups, J. Funct. Anal. 159 (1998), no. 2, 384-431. CMP 99:04
- [P2]
- A. Paul, First occurrence for the dual pairs (U(p,q),U(r,s)), Canad. J. Math. 51 (3) (1999), 636-657. CMP 99:16
- [V]
- D. Vogan, Unitarizibility of certain series of representations, Ann. of Math. 120 (1984), 141-187. MR 86h:22028
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
22E46
Retrieve articles in all Journals with MSC
(2000):
22E46
Additional Information:
Annegret
Paul
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720-3840
Address at time of publication:
Department of Mathematics & Statistics, Western Michigan University, Kalamazoo, Michigan 49008-5152
Email:
apaul@math.berkeley.edu, paula@wmich.edu
DOI:
10.1090/S0002-9939-00-05359-4
PII:
S 0002-9939(00)05359-4
Keywords:
Oscillator representation,
reductive dual pairs,
Langlands parameters
Received by editor(s):
October 15, 1998
Received by editor(s) in revised form:
November 24, 1998
Posted:
April 7, 2000
Additional Notes:
The author thanks the referee for several helpful suggestions.
Communicated by:
Roe Goodman
Copyright of article:
Copyright
2000,
American Mathematical Society
|
Comments: webmaster@ams.org