English

Coxeter planes as fixed points of Verlinde fusion rings

Representation Theory 2026-02-24 v1 Group Theory Quantum Algebra

Abstract

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 Z+\mathbb{Z}_+-modules over these fusion rings.

Keywords

Cite

@article{arxiv.2602.18826,
  title  = {Coxeter planes as fixed points of Verlinde fusion rings},
  author = {Max Boyle and Edmund Heng},
  journal= {arXiv preprint arXiv:2602.18826},
  year   = {2026}
}

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