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Annals of Mathematics, II. Series Vol. 151, No. 3, pp. 10711118 (2000) 

Characteristic cycles and wave front cycles of representations of reductive Lie groupsWilfried Schmid and Kari VilonenReview from Zentralblatt MATH: The main result of this paper settles the conjecture of BarbaschVogan [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, 7598 (1978; Zbl 0436.22011)] via the KostantSekiguchi 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
