On the little Weyl group of a real spherical space

Job J. Kuit, Eitan Sayag

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
Pages (from-to)433-498
Number of pages66
JournalMathematische Annalen
Volume387
Issue number1-2
DOIs
StatePublished - 10 Sep 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics

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