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Annals of Mathematics, II. Series, Vol. 151, No. 3, pp. 1071-1118, 2000
EMIS ELibM Electronic Journals Annals of Mathematics, II. Series
Vol. 151, No. 3, pp. 1071-1118 (2000)

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Characteristic cycles and wave front cycles of representations of reductive Lie groups

Wilfried Schmid and Kari Vilonen

Review from Zentralblatt MATH:

The main result of this paper settles the conjecture of Barbasch-Vogan [cf. {\it D. Vogan}, Oral lectures at Bowdoin College, August, 1989]: For any irreducible admissible representation $\pi$ of a linear reductive Lie group $G_{\bold R}$, the associated cycle $\text{Ass}(\pi)$ [attached to $\pi $ in {\it D. Vogan}, Invent. Math. 48, 75-98 (1978; Zbl 0436.22011)] via the Kostant-Sekiguchi correspondence.

Reviewed by Vladimir L.Popov

Keywords: reductive group; representation; Cartan decomposition; nilpotent orbit; cycle

Classification (MSC2000): 22E45

Full text of the article:

Electronic fulltext finalized on: 8 Sep 2001. This page was last modified: 22 Jan 2002.

© 2001 Johns Hopkins University Press
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Metadata extracted from Zentralblatt MATH with kind permission