Document Type
Article
Publication Date
1-1-2024
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.
Publication Source (Journal or Book title)
Journal of Noncommutative Geometry
First Page
1453
Last Page
1483
Recommended Citation
Huang, H., Nguyen, V., Ure, C., Vashaw, K., Veerapen, P., & Wang, X. (2024). A cogroupoid associated to preregular forms. Journal of Noncommutative Geometry, 18 (4), 1453-1483. https://doi.org/10.4171/JNCG/558
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