A geometric Jacquet functor

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

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References

A. Beĭlinson and J. Bernstein, Localisations de $\mathfrak g$-modules, C. R. Acad. Sci. Paris 292 (1981), 15--18.

Mathematical Reviews (MathSciNet): MR0610137

--. --. --. --., ``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

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

Digital Object Identifier: doi:10.2307/2000589

JSTOR: links.jstor.org

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

--. --. --. --., ``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

N. Wallach, Real Reductive Groups, I, Pure Appl. Math. 132, Academic Press, Boston, 1988.

Mathematical Reviews (MathSciNet): MR0929683

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