Abstract
When C is a symmetric closed category with equalizers and coequalizers and H is a Hopf algebra in C, the category of Yetter—Drinfel’d H-modules is a braided monoidal category.
We develop a categorical version of the results in (10) constructing a Brauer group BQ(C,H) and studying its functorial properties.
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Alonso Alvarez, J.N., Fernández Vilaboa, J.M. & Villanueva Novoa, E. Yetter—Drinfel'd H-Azumaya Monoids in Closed Categories. Applied Categorical Structures 6, 239–265 (1998). https://doi.org/10.1023/A:1008664230452
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DOI: https://doi.org/10.1023/A:1008664230452