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NIM-representations of Tambara-Yamagami generalizations

Agustina Czenky, Emily McGovern, Melody Molander, Monique Müller, Ana Ros Camacho

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-Möller, respectively. We also detect the algebra objects associated to these NIM-representations.

NIM-representations of Tambara-Yamagami generalizations

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-Möller, respectively. We also detect the algebra objects associated to these NIM-representations.
Paper Structure (2 sections, 2 theorems, 2 equations)

This paper contains 2 sections, 2 theorems, 2 equations.

Table of Contents

  1. Introduction
  2. Basic notions

Key Result

Theorem A

For the Jordan-Larson fusion ring $R_{p,G}$,

Theorems & Definitions (4)

  • Theorem A
  • Theorem B
  • Definition 2.1
  • Example 2.2