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Diagrammatics for dicyclic groups

Representation Theory 2025-12-25 v2 Combinatorics

Abstract

Using that the dicyclic group is the type D subgroup of SU(2), we extend the Temperley-Lieb diagrammatics to give a diagrammatic presentation of the complex representation theory of the dicyclic group.

Keywords

Cite

@article{arxiv.2412.12376,
  title  = {Diagrammatics for dicyclic groups},
  author = {Peter DeBello and Daniel Tubbenhauer},
  journal= {arXiv preprint arXiv:2412.12376},
  year   = {2025}
}

Comments

21 pages, many figures, comments welcome

R2 v1 2026-06-28T20:37:59.319Z