Stable splittings, spaces of representations and almost commuting elements in Lie groups
Algebraic Topology
2015-05-20 v1 Group Theory
Abstract
In this paper the space of almost commuting elements in a Lie group is studied through a homotopical point of view. In particular a stable splitting after one suspension is derived for these spaces and their quotients under conjugation. A complete description for the stable factors appearing in this splitting is provided for compact connected Lie groups of rank one.By using symmetric products, the colimits , and are explicitly described as finite products of Eilenberg-MacLane spaces.
Cite
@article{arxiv.1010.0735,
title = {Stable splittings, spaces of representations and almost commuting elements in Lie groups},
author = {Alejandro Adem and Frederick R. Cohen and Jose Manuel Gomez},
journal= {arXiv preprint arXiv:1010.0735},
year = {2015}
}
Comments
37 Pages. To appear in Math. Proc. Camb. Phil. Soc