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-homology of generic representations for
Author(s):
Jen-Tseh
Chang;
James
W.
Cogdell
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1251-1256.
MSC (1991):
Primary 22E46
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Abstract:
We compute the -homology for a class of representations of and which admit a Whittaker model. They are all completely reducible.
References:
- [1]
- W. Casselman, Jacquet modules for real reductive groups, Proceedings of the International Congress of Mathematicians, Helsinki, 1978, 557-563. MR 83h:22025
- [2]
- J.-T. Chang, Special
-types, tempered characters and the Beilinson-Bernstein realization, Duke Math. J. 56 (1988), 345-383. MR 89k:22028 - [3]
- J. Cogdell and I.I. Piatetski-Shapiro, Derivatives and L-functions for
, to appear in a volume dedicated to B. Moishezon. - [4]
- H. Hecht and W. Schmid, Characters, asymptotics and
-homology of Harish-Chandra modules, Acta Math. 151 (1983), 49-151. MR 84k:22026 - [5]
- D. Vogan Jr, Gelfand-Kirillov dimensions for Harish-Chandra modules, Inv. math. 48 (1978), 75-98. MR 58:22205
- [6]
- D. Vogan Jr., Representations of Real Reductive Lie Groups, Birkäuser, Boston, 1981. MR 83c:22022
- [7]
- N. Wallach, Real Reductive Groups II, Academic Press, San Diego, 1992. MR 93m:22018
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Additional Information:
Jen-Tseh
Chang
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078-0613
Email:
changj@math.okstate.edu
James
W.
Cogdell
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078-0613
Email:
cogdell@math.okstate.edu
DOI:
10.1090/S0002-9939-99-04623-7
PII:
S 0002-9939(99)04623-7
Received by editor(s):
April 30, 1996
Received by editor(s) in revised form:
August 20, 1997
Additional Notes:
The second author was partially supported by a grant from the NSA
Communicated by:
Roe Gooodman
Copyright of article:
Copyright
1999,
American Mathematical Society
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