关于拓扑孪生建筑与拓扑分裂 Kac-Moody 群
群论
2015-03-27 v2 组合数学
一般拓扑
摘要
我们证明了局部域上的二球面分裂 Kac-Moody 群自然地提供了 Kramer 意义下的拓扑孪生建筑。这一存在性结果，结合孪生建筑拓扑的局部到全局原理，以及由 M"uhlherr、Ronan 和 Tits 引入并研究的 Moufang 基础理论，使得人们能够立即对底层 Coxeter 图不含环且无孤立顶点的二球面分裂 Moufang 拓扑孪生建筑进行分类。
引用
@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}
}
备注
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