Izvorni znanstveni članak
A limit formula for real Richardson orbits
Mladen Božičević
; Faculty of Geotechnical Engineering, University of Zagreb, Varaždin, Croatia
Sažetak
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.
Ključne riječi
semisimple Lie group; flag variety; equivariant sheaf; characteristic cycle; nilpotent orbit
Hrčak ID:
285137
URI
Datum izdavanja:
13.11.2022.
Posjeta: 573 *