Root shadow spaces

We give a characterization of the root shadow spaces of buildings whose types correspond to Dynkin diagrams. The results generalize earlier geometric point-line characterizations of certain spherical s as well as Timmesfeld’s characterization of abstract root subgroups. We also show how the results can be applied to characterize simple Lie algebras generated by extremal elements.

• Type: Journal
• Year: 2007
• Where: EJC
• Authors: Arjeh M. Cohen, Gábor Ivanyos
• Keywords: Abstract Root Subgroups, Characterization, EJC 2007, Information Technology, Root Shadow Spaces