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arXiv · 2112.09098

A cogroupoid associated to preregular forms

Hongdi Huang·Van C. Nguyen·Charlotte Ure·Kent B. Vashaw·Padmini Veerapen·Xingting Wang
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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.

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Hongdi Huang, Van C. Nguyen, Charlotte Ure, Kent B. Vashaw, Padmini Veerapen, Xingting Wang. 2021-12-16. A cogroupoid associated to preregular forms. https://arxiv.org/abs/2112.09098

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