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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

$\mathfrak{n}$-homology of generic representations for $GL(N)$

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 | References | Similar articles | Additional information

Abstract: We compute the $\mathfrak{n}$-homology for a class of representations of
$GL(N,\mathbb{R})$ and $GL(N,\mathbb{C})$ which admit a Whittaker model. They are all completely reducible.


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J. Cogdell and I.I. Piatetski-Shapiro, Derivatives and L-functions for $GL_{n}$, to appear in a volume dedicated to B. Moishezon.

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H. Hecht and W. Schmid, Characters, asymptotics and $\mathfrak{n}$-homology of Harish-Chandra modules, Acta Math. 151 (1983), 49-151. MR 84k:22026

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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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