Howe correspondence for real unitary groups II
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- by Annegret Paul
- Proc. Amer. Math. Soc. 128 (2000), 3129-3136
- DOI: https://doi.org/10.1090/S0002-9939-00-05359-4
- Published electronically: April 7, 2000
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Abstract:
A previous paper by the author describes the Howe correspondence for dual pairs of the form $(U(p,q),U(r,s))$ with $p+q=r+s$, in terms of Langlands parameters. We extend these results to the case $p+q=r+s+1$.References
- Jeffrey Adams and Dan Barbasch, Reductive dual pair correspondence for complex groups, J. Funct. Anal. 132 (1995), no. 1, 1–42. MR 1346217, DOI 10.1006/jfan.1995.1099
- Roger Howe, Transcending classical invariant theory, J. Amer. Math. Soc. 2 (1989), no. 3, 535–552. MR 985172, DOI 10.1090/S0894-0347-1989-0985172-6
- Stephen S. Kudla, On the local theta-correspondence, Invent. Math. 83 (1986), no. 2, 229–255. MR 818351, DOI 10.1007/BF01388961
- 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.
- Jian-Shu Li, Theta lifting for unitary representations with nonzero cohomology, Duke Math. J. 61 (1990), no. 3, 913–937. MR 1084465, DOI 10.1215/S0012-7094-90-06135-6
- A. Paul, Howe correspondence for real unitary groups, J. Funct. Anal. 159 (1998), no. 2, 384–431.
- A. Paul, First occurrence for the dual pairs (U(p,q),U(r,s)), Canad. J. Math. 51 (3) (1999), 636–657.
- David A. Vogan Jr., Unitarizability of certain series of representations, Ann. of Math. (2) 120 (1984), no. 1, 141–187. MR 750719, DOI 10.2307/2007074
Bibliographic 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
- Received by editor(s): October 15, 1998
- Received by editor(s) in revised form: November 24, 1998
- Published electronically: April 7, 2000
- Additional Notes: The author thanks the referee for several helpful suggestions.
- Communicated by: Roe Goodman
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3129-3136
- MSC (2000): Primary 22E46
- DOI: https://doi.org/10.1090/S0002-9939-00-05359-4
- MathSciNet review: 1664375