A geometric Jacquet functor
M. Emerton, D. Nadler, and K. Vilonen
Source: Duke Math. J. Volume 125, Number 2 (2004), 267-278.
Abstract
The object of this paper is to describe the Jacquet module functor on Harish-Chandra modules via the localisation method of Beĭlinson and Bernstein.
Primary Subjects: 20G05 20G20
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1098892270
Digital Object Identifier: doi:10.1215/S0012-7094-04-12523-0
Mathematical Reviews number (MathSciNet):
MR2096674
Zentralblatt MATH identifier:
02139672
References
[BB1] A. Beĭlinson and J. Bernstein, Localisations de $\mathfrak g$-modules, C. R. Acad. Sci. Paris 292 (1981), 15--18.
Mathematical Reviews (MathSciNet):
MR0610137
[BB2] —, ``A generalisation of Casselman's submodule theorem'' in Representation Theory of Reductive Groups (Park City, Utah, 1982), Progr. Math. 40, Birkhäuser, Boston, 1983, 35--52.
Mathematical Reviews (MathSciNet):
MR0733805
[CC] L. G. Casian and D. H. Collingwood, Complex geometry and the asymptotics of Harish-Chandra modules for real reductive Lie groups, I, Trans. Amer. Math. Soc. 300 (1987), 73--107.
Mathematical Reviews (MathSciNet):
MR0871666
[K1] M. Kashiwara, ``Vanishing cycle sheaves and holonomic systems of differential equations'' in Algebraic Geometry (Tokyo/Kyoto, 1982), Lecture Notes in Math. 1016, Springer, Berlin, 1983, 134--142.
Mathematical Reviews (MathSciNet):
MR0726425
Zentralblatt MATH:
0566.32022
[K2] —, ``Representation theory and $\mathcalD$-modules on flag varieties'' in Orbites Unipotentes et Représentation, III, Astérisque 173 --.174, Soc. Math. France, Paris, 1989, 55--109.
Mathematical Reviews (MathSciNet):
MR1021510
Duke Mathematical Journal
