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Original scientific paper

A limit formula for real Richardson orbits

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


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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

https://hrcak.srce.hr/285137

Publication date:

13.11.2022.

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