Every indecomposable module of a finite-dimensional quasitriangular Hopf algebra has exactly two lifts to its formal ribbon extension, and the extended category is described in terms of the original one.
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On the formal ribbon extension of a quasitriangular Hopf algebra
Every indecomposable module of a finite-dimensional quasitriangular Hopf algebra has exactly two lifts to its formal ribbon extension, and the extended category is described in terms of the original one.