december 2022 Equivariant Morita theory for graded tensor categories
César Galindo, David Jaklitsch, Christoph Schweigert
Bull. Belg. Math. Soc. Simon Stevin 29(2): 145-171 (december 2022). DOI: 10.36045/j.bbms.210720

Abstract

We extend categorical Morita equivalence to finite tensor categories gra\-ded by a finite group $G$. We show that two such categories are graded Morita equivalent if and only if their equivariant Drinfeld centers are equivalent as braided $G$-crossed tensor categories.

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César Galindo. David Jaklitsch. Christoph Schweigert. "Equivariant Morita theory for graded tensor categories." Bull. Belg. Math. Soc. Simon Stevin 29 (2) 145 - 171, december 2022. https://doi.org/10.36045/j.bbms.210720

Information

Published: december 2022
First available in Project Euclid: 26 February 2023

Digital Object Identifier: 10.36045/j.bbms.210720

Subjects:
Primary: 18M05

Keywords: $\mathcal{P}$-factorizable , $PT$-group, strong $PT$-group , DieudonnŽ complete , equivariant Drinfeld center , graded tensor categories , Morita theory

Rights: Copyright © 2022 The Belgian Mathematical Society

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Vol.29 • No. 2 • december 2022
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