Original scientific paper

**A limit formula for real Richardson orbits**

Mladen Božičević
; Faculty of Geotechnical Engineering, University of Zagreb, Varaždin, Croatia

###### Abstract

Let \(G_\mathbb R\) be a real, semisimple, linear and connected Lie group. Let K denote the complexification of a maximal compact group of \(G_\mathbb R \). Assume that \(G_\mathbb R\)

has a compact Cartan subgroup. We prove a formula which computes the Liouville measure on a real nilpotent Richardson orbit, obtained by the Sekiguchi correspondence from a K-nilpotent Richardson orbit, as a limit of differentiated measures on regular elliptic orbits.

###### Keywords

semisimple Lie group; flag variety; equivariant sheaf; characteristic cycle; nilpotent orbit

###### Hrčak ID:

285137

###### URI

###### Publication date:

13.11.2022.

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