Classification of reductive real spherical pairs I. The simple case

Abstract

This paper gives a classification of all pairs $(\mathfrak{g},\mathfrak{h})$ with $\mathfrak{g}$ a simple real Lie algebra and $\mathfrak{h}<\mathfrak{g}$ a reductive subalgebra for which there exists a minimal parabolic subalgebra $\mathfrak{p}<\mathfrak{g}$ such that $\mathfrak{g}=\mathfrak{h}+\mathfrak{p}$ as vector sum.

arXiv comment44 pages, 8 tables. Minor corrections in Table 8. Published version

References in corpus (4)

• The Plancherel decomposition for a reductive symmetric space II. Representation theory
• Volume growth, temperedness and integrability of matrix coefficients on a real spherical space
• The local structure theorem for real spherical varieties
• Classification of reductive real spherical pairs I. The simple case

Cited by in corpus (2)

• Classification of reductive real spherical pairs I. The simple case
• Upper bounds for geodesic periods over rank one locally symmetric spaces