Invertible bimodule categories over the representation category of a Hopf algebra |
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Authors: | Bojana Femić,Adriana Mejí a Castañ o,Martí n Mombelli |
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Affiliation: | 1. Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, 11 300 Montevideo, Uruguay;2. CIEM-FAMAF, Universidad Nacional de Córdoba, Medina Allende s/n, 5000, Córdoba, Argentina |
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Abstract: | For any finite-dimensional Hopf algebra H we construct a group homomorphism BiGal(H)→BrPic(Rep(H)), from the group of equivalence classes of H -biGalois objects to the group of equivalence classes of invertible exact Rep(H)-bimodule categories. We discuss the injectivity of this map. We exemplify in the case H=Tq is a Taft Hopf algebra and for this we classify all exact indecomposable Rep(Tq)-bimodule categories. |
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Keywords: | 18D10 16W30 19D23 |
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