Coxeter planes as fixed points of Verlinde fusion rings

Fuente: arXiv
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Autori principali: Boyle, Max, Heng, Edmund
Natura: Preprint
Pubblicazione: 2026
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author Boyle, Max
Heng, Edmund
author_facet Boyle, Max
Heng, Edmund
contents For the Coxeter groups of ADE type, we provide a construction of their Coxeter planes as fixed points of actions of hypergroups associated to Verlinde fusion rings. This builds upon the well-known ADE classification of $\mathbb{Z}_+$-modules over these fusion rings.
format Preprint
id arxiv_https___arxiv_org_abs_2602_18826
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Coxeter planes as fixed points of Verlinde fusion rings
Boyle, Max
Heng, Edmund
Representation Theory
Group Theory
Quantum Algebra
20F55, 20N20, 18M20
For the Coxeter groups of ADE type, we provide a construction of their Coxeter planes as fixed points of actions of hypergroups associated to Verlinde fusion rings. This builds upon the well-known ADE classification of $\mathbb{Z}_+$-modules over these fusion rings.
title Coxeter planes as fixed points of Verlinde fusion rings
topic Representation Theory
Group Theory
Quantum Algebra
20F55, 20N20, 18M20
url https://arxiv.org/abs/2602.18826