A limit formula for real Richardson orbits

Mladen Božičević


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.


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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)