On the semisimplicity of the Lie group of strongly reducible symmetric spaces
Abstract
In this short note, we show that, if G/H is a strongly reducible symmetric space and G acts almost effectively on it, then the Lie group G must be semisimple.
Fields of Study & Subjects
Advanced Algebra and Geometry
Homotopy and Cohomology in Algebraic Topology
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Communications in Algebra
- Volume
- 54
- Issue
- 6
- Pages
- 2767–2771
- Publication date
- 1 January 2026
- Language
- EN