A Cartan decomposition for non-symmetric reductive spherical pairs of rank-one type and its application to visible actions
From MaRDI portal
Publication:2290615
DOI10.1007/978-3-030-26562-5_7zbMATH Open1431.22015arXiv1807.11664OpenAlexW2886311374MaRDI QIDQ2290615
Author name not available (Why is that?)
Publication date: 29 January 2020
Abstract: A Cartan decomposition for symmetric pairs plays an important role to study not only orbit geometry of the symmetric spaces but also harmonic analysis on them. For non-symmetric reductive pairs, there are examples of generalizations of Cartan decompositions for some spherical complex homogeneous spaces such as complex line bundles over the complexified Hermitian symmetric spaces and triple spaces. This paper provides new examples of a Cartan decomposition for non-symmetric reductive pairs, namely, reductive non-symmetric spherical pairs of rank-one type. We also show that the action of some compact group on a non-symmetric reductive spherical homogeneous space of rank-one type is strongly visible.
Full work available at URL: https://arxiv.org/abs/1807.11664
No records found.
No records found.
This page was built for publication: A Cartan decomposition for non-symmetric reductive spherical pairs of rank-one type and its application to visible actions
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2290615)
