Abstract
The key to understanding the geometrical structure of the compactifications of symmetric spaces of non-compact type is given by the family of parabolic subgroups of G. In this chapter the relation between these subgroups and sets of simple roots is discussed. Additional details for matters treated in this chapter may be found in Helgason [H2] or Warner [W1]. This chapter begins by introducing the two basic decompositions of G.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Birkhäuser Boston
About this chapter
Cite this chapter
Guivarc’h, Y., Ji, L., Taylor, J.C. (1998). Subalgebras and Parabolic Subgroups. In: Compactification of Symmetric Spaces. Progress in Mathematics, vol 156. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2452-5_2
Download citation
DOI: https://doi.org/10.1007/978-1-4612-2452-5_2
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7542-8
Online ISBN: 978-1-4612-2452-5
eBook Packages: Springer Book Archive