2 papers
math.QA2026
Grothendieck rings of near-Tambara--Yamagami fusion categories
Jingcheng Dong, Sébastien Palcoux, Kai Wang
We determine the Grothendieck rings of fusion categories over containing a nonpointed Tambara--Yamagami fusion subcategory and exactly one further simple object. The…
math.QA2026
The Grothendieck Ring of Strictly Weakly Integral Fusion Categories of Rank 6
Kai Wang, Jingcheng Dong, Libin Li
In this paper, we study strictly weakly integral fusion categories of rank 6 and give a complete classification of their Grothendieck rings. We obtain twelve candidate Grothendieck…