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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$\mathfrak n$-homology of generic representations for $GL(N)$
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by Jen-Tseh Chang and James W. Cogdell PDF
Proc. Amer. Math. Soc. 127 (1999), 1251-1256 Request permission

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.
References
  • W. Casselman, Jacquet modules for real reductive groups, Proceedings of the International Congress of Mathematicians (Helsinki, 1978) Acad. Sci. Fennica, Helsinki, 1980, pp. 557–563. MR 562655
  • Jen-Tseh Chang, Special $K$-types, tempered characters and the Beilinson-Bernstein realization, Duke Math. J. 56 (1988), no. 2, 345–383. MR 932850, DOI 10.1215/S0012-7094-88-05614-1
  • J. Cogdell and I.I. Piatetski-Shapiro, Derivatives and L-functions for $GL_{n}$, to appear in a volume dedicated to B. Moishezon.
  • Henryk Hecht and Wilfried Schmid, Characters, asymptotics and ${\mathfrak {n}}$-homology of Harish-Chandra modules, Acta Math. 151 (1983), no. 1-2, 49–151. MR 716371, DOI 10.1007/BF02393204
  • David A. Vogan Jr., Gel′fand-Kirillov dimension for Harish-Chandra modules, Invent. Math. 48 (1978), no. 1, 75–98. MR 506503, DOI 10.1007/BF01390063
  • David A. Vogan Jr., Representations of real reductive Lie groups, Progress in Mathematics, vol. 15, Birkhäuser, Boston, Mass., 1981. MR 632407
  • Nolan R. Wallach, Real reductive groups. II, Pure and Applied Mathematics, vol. 132, Academic Press, Inc., Boston, MA, 1992. MR 1170566
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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
  • MR Author ID: 50230
  • Email: cogdell@math.okstate.edu
  • 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 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1251-1256
  • MSC (1991): Primary 22E46
  • DOI: https://doi.org/10.1090/S0002-9939-99-04623-7
  • MathSciNet review: 1473658