Stability phenomena for Kac-Moody groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912953677119488 |
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| author | Kitchloo, Nitu |
| author_facet | Kitchloo, Nitu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08175 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability phenomena for Kac-Moody groups Kitchloo, Nitu Algebraic Topology Mathematical Physics 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. |
| title | Stability phenomena for Kac-Moody groups |
| topic | Algebraic Topology Mathematical Physics |
| url | https://arxiv.org/abs/2602.08175 |