Slightly degenerate categories and $\mathbb{Z}$-modular data
Quantum Algebra
2023-11-07 v3 Category Theory
Abstract
Given a slightly degenerate fusion category , we explain how it naturally gives rise to a Z-modular data. We do not restrict to spherical categories and work with pivotal categories instead. Finally, we give an interpretation in this framework of the Bonnaf\'e-Rouquier categorification of the -modular datum associated to non trivial family of the cyclic complex reflection group.
Keywords
Cite
@article{arxiv.1807.00766,
title = {Slightly degenerate categories and $\mathbb{Z}$-modular data},
author = {Abel Lacabanne},
journal= {arXiv preprint arXiv:1807.00766},
year = {2023}
}
Comments
24 pages, added some examples, a theorem of Vafa and removed a mild hypothesis in section 3