On the little Weyl group of a real spherical space

Job J. Kuit, Eitan Sayag

Research output: Working paper/PreprintPreprint

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 Kr ¨otz. 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 languageEnglish
PublisherarXiv:2006.03516 [math.RT]
StatePublished - 2020

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