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.

arXiv comment21 pages, comments welcome!