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math.QA2022★ 1 cited
Exact factorizations and extensions of finite tensor categories
Tathagata Basak, Shlomo Gelaki
We extend \cite{G} to the nonsemisimple case. We define and study exact factorizations $\B=\A\bullet \C$ of a finite tensor category $\B$ into a product of two tensor subcategories…
math.QA2014★ 5 cited
Indicators of Tambara-Yamagami categories and Gauss sums
Tathagata Basak, Ryan Johnson
We prove that the higher Frobenius-Schur indicators, introduced by Ng and Schauenburg, give a strong enough invariant to distinguish between any two Tambara-Yamagami fusion categor…