Stability phenomena for Kac-Moody groups

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Nitu Kitchloo
DOI: 10.48550/arxiv.2602.08175
Cited by: 0

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.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Algebraic structures and combinatorial models Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
9 February 2026
Language
EN
Document type
Preprint