Characteristic cycles of standard sheaves associated with open orbits

Božičević, Mladen

doi:10.1090/S0002-9939-07-08986-1

Characteristic cycles of standard sheaves associated with open orbits
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by Mladen Božičević

Proc. Amer. Math. Soc. 136 (2008), 367-371

DOI: https://doi.org/10.1090/S0002-9939-07-08986-1

Published electronically: October 5, 2007

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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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