Morita equivalence methods in classification of fusion categories
Dmitri Nikshych
TL;DR
This paper presents a method for classifying fusion categories based on Morita equivalence, utilizing analysis of Drinfeld centers and Tannakian subcategories to distinguish different categories.
Contribution
It introduces a novel approach to classify fusion categories through Morita equivalence by examining their Drinfeld centers and Tannakian subcategories.
Findings
Provides a framework for classifying fusion categories
Highlights the role of Drinfeld centers in Morita equivalence
Suggests new techniques for identifying Tannakian subcategories
Abstract
We describe an approach to classification of fusion categories in terms of Morita equivalence. This is usually achieved by analyzing Drinfeld centers of fusion categories and finding Tannakian subcategories therein.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra