Kac-Moody Groups and Completions
Group Theory
2020-02-21 v3 General Topology
Representation Theory
Abstract
In this paper we construct a new "pro-p-complete" topological Kac-Moody group and compare it to various known topological Kac-Moody groups. We come across this group by investigating the process of completion of groups with BN-pairs. We would like to know whether the completion of such a group admits a BN-pair. We give explicit criteria for this to happen.
Cite
@article{arxiv.1706.08374,
title = {Kac-Moody Groups and Completions},
author = {Inna Capdeboscq and Dmitriy Rumynin},
journal= {arXiv preprint arXiv:1706.08374},
year = {2020}
}
Comments
Version 2: minor corrections. Version 3: minor corrections, the final version