Stability phenomena for Kac-Moody groups
Algebraic Topology
2026-03-10 v2 Mathematical Physics
math.MP
Abstract
We show that a canonical procedure of extending generalized Dynkin diagrams gives rise to families of Kac-Moody groups that satisfy homological stability. We also briefly sketch some emergent structure that appears on stabilization. Our results are illustrated for the family {E_n} which is of interest in String theory. The techniques used involve homotopy decompositions of classifying spaces of Kac-Moody groups.
Cite
@article{arxiv.2602.08175,
title = {Stability phenomena for Kac-Moody groups},
author = {Nitu Kitchloo},
journal= {arXiv preprint arXiv:2602.08175},
year = {2026}
}
Comments
The original version is expanded to identify the stable cohomology ring with the stable Weyl invariants up to a nilpotent extension