![]() ![]() But then next should come 2-Frobenius algebroids which should be modular bicategories such that those with a single object are modular tensor categories. It yields (\infty,1) -Frobenius algebroids if you wish. For the remaining ones, i.e., those selfinjective algebras whose stable categories are actually Calabi-Yau, the difference between the Calabi-Yau dimensions of the indecomposable Calabi-Yau objects and the Calabi-Yau dimensions of the stable categories is described. fRight, so the notion of Calabi-Yau A\infty -category is one aspect of vertical categorification. For selfinjective algebras with such properties, the ones whose stable categories are not Calabi-Yau are determined. The authors give a discription of the stable categories of selfinjective algebras of finite representation type over an algebraically closed field, which admits indecomposable Calabi-Yau obdjects. Indecomposable Calabi-Yau objects in stable module categories of finite type Indecomposable Calabi-Yau objects in stable module categories of finite type
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