A limit formula for real Richardson orbits

Mathematical Communications

article

Mladen Božičević¹ 

[1] Faculty of Geotechnical Engineering, University of Zagreb

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

学科分类：工程和技术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND