NIM-representations of Tambara-Yamagami generalizations
Quantum Algebra
2026-03-02 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We compute and classify the irreducible non-negative integer matrix (NIM-)representations of two proposed generalizations of the Tambara-Yamagami fusion ring, as studied by Jordan-Larson and Galindo-Lentner-M\"oller, respectively. We also detect the algebra objects associated to these NIM-representations.
Keywords
Cite
@article{arxiv.2602.23502,
title = {NIM-representations of Tambara-Yamagami generalizations},
author = {Agustina Czenky and Emily McGovern and Melody Molander and Monique Müller and Ana Ros Camacho},
journal= {arXiv preprint arXiv:2602.23502},
year = {2026}
}
Comments
21 pages, comments welcome!