A cogroupoid associated to preregular forms

2021/12/16 by Huang, Hongdi, Nguyen, Van C., Ure, Charlotte +3 · 1 citation
#16T05 #16W50 #17B37 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2112.09098

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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