NIM-representations of Tambara-Yamagami generalizations

Fuente: arXiv
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Auteurs principaux: Czenky, Agustina, McGovern, Emily, Molander, Melody, Müller, Monique, Camacho, Ana Ros
Format: Preprint
Publié: 2026
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author Czenky, Agustina
McGovern, Emily
Molander, Melody
Müller, Monique
Camacho, Ana Ros
author_facet Czenky, Agustina
McGovern, Emily
Molander, Melody
Müller, Monique
Camacho, Ana Ros
contents 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-Möller, respectively. We also detect the algebra objects associated to these NIM-representations.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23502
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle NIM-representations of Tambara-Yamagami generalizations
Czenky, Agustina
McGovern, Emily
Molander, Melody
Müller, Monique
Camacho, Ana Ros
Quantum Algebra
Mathematical Physics
Representation Theory
18M20
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-Möller, respectively. We also detect the algebra objects associated to these NIM-representations.
title NIM-representations of Tambara-Yamagami generalizations
topic Quantum Algebra
Mathematical Physics
Representation Theory
18M20
url https://arxiv.org/abs/2602.23502