Proceedings of the American Mathematical Society

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



Characteristic cycles of standard sheaves associated with open orbits

Author: Mladen Bozicevic
Journal: Proc. Amer. Math. Soc. 136 (2008), 367-371
MSC (2000): Primary 22E46; Secondary 22E30
Published electronically: October 5, 2007
MathSciNet review: 2350425
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Abstract: Let $ G_\mathbb{R}$ be a real form of a complex, semisimple Lie group $ G$. We compute the characteristic cycle of a standard sheaf associated with an open $ G_\mathbb{R}$-orbit on the partial flag variety of $ G$. We apply the result to obtain a Rossmann-type integral formula for elliptic coadjoint orbits. These results were previously obtained by the author under the assumption that the rank of $ G_\mathbb{R}$ is equal to the rank of a maximal compact subgroup.

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Mladen Bozicevic
Affiliation: Department of Geotechnical Engineering, University of Zagreb, Hallerova 7, 42000 Varaždin, Croatia

Received by editor(s): June 28, 2006
Received by editor(s) in revised form: October 4, 2006
Published electronically: October 5, 2007
Communicated by: Dan Barbasch
Article copyright: © Copyright 2007 American Mathematical Society