Exact sequences of Frobenius tensor categories
Quantum Algebra
2023-03-28 v1 Category Theory
Representation Theory
Abstract
Given a tensor functor between tensor categories and , we give criteria that, under certain assumptions, the Frobeniusness of or implies the Frobeniusness of the other one. We also give an affirmative answer to Natale's question asking if the class of Frobenius tensor categories is closed under exact sequences.
Cite
@article{arxiv.2303.14687,
title = {Exact sequences of Frobenius tensor categories},
author = {Taiki Shibata and Kenichi Shimizu},
journal= {arXiv preprint arXiv:2303.14687},
year = {2023}
}
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22 pages