Completely reducible subcomplexes of spherical buildings
Group Theory
2011-02-10 v2
Abstract
We generalize a result of Serre's to show that if every vertex of some fixed type of a convex subcomplex of an irreducible spherical building has an opposite, then the subcomplex is completely reducible.
Cite
@article{arxiv.1009.5783,
title = {Completely reducible subcomplexes of spherical buildings},
author = {Chris Parker and Katrin Tent},
journal= {arXiv preprint arXiv:1009.5783},
year = {2011}
}