On topological twin buildings and topological split Kac-Moody groups
Abstract
We prove that a two-spherical split Kac-Moody group over a local field naturally provides a topological twin building in the sense of Kramer. This existence result and the local-to-global principle for twin building topologies combined with the theory of Moufang foundations as introduced and studied by M\"uhlherr, Ronan, and Tits allows one to immediately obtain a classification of two-spherical split Moufang topological twin buildings whose underlying Coxeter diagram contains no loop and no isolated vertices.
Keywords
Cite
@article{arxiv.1201.3562,
title = {On topological twin buildings and topological split Kac-Moody groups},
author = {Tobias Hartnick and Ralf Köhl and Andreas Mars},
journal= {arXiv preprint arXiv:1201.3562},
year = {2015}
}
Comments
Some papers, in particular http://arxiv.org/abs/1209.0890, refers to v1. Please note that v2 has a considerably changed numbering. We recommend to first look up the appropriate results in v1 and then locate its analog in v2 in order to study it there