Abstract
In the present paper we further the study of the compression cone of a real spherical homogeneous space Z= G/ H. In particular we provide a geometric construction of the little Weyl group of Z introduced recently by Knop and Krötz. Our technique is based on a fine analysis of limits of conjugates of the subalgebra Lie (H) along one-parameter subgroups in the Grassmannian of subspaces of Lie (G). The little Weyl group is obtained as a finite reflection group generated by the reflections in the walls of the compression cone.
Original language | English |
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Pages (from-to) | 433-498 |
Number of pages | 66 |
Journal | Mathematische Annalen |
Volume | 387 |
Issue number | 1-2 |
DOIs | |
State | Published - 10 Sep 2022 |
ASJC Scopus subject areas
- General Mathematics