A cogroupoid associated to preregular forms
Rings and Algebras
2023-01-02 v2 Quantum Algebra
Abstract
We construct a family of cogroupoids associated to preregular forms and recover the Morita-Takeuchi equivalence for Artin-Schelter regular algebras of dimension two, observed by Raedschelders and Van den Bergh. Moreover, we study the 2-cocycle twists of pivotal analogues of these cogroupoids, by developing a categorical description of preregularity in any tensor category that has a pivotal structure.
Cite
@article{arxiv.2112.09098,
title = {A cogroupoid associated to preregular forms},
author = {Hongdi Huang and Van C. Nguyen and Charlotte Ure and Kent B. Vashaw and Padmini Veerapen and Xingting Wang},
journal= {arXiv preprint arXiv:2112.09098},
year = {2023}
}
Comments
Comments are welcome