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• W2896651456 abstract "Let $mathcal{C}(mathfrak{g},k)$ be the unitary modular tensor categories arising from the representation theory of quantum groups at roots of unity for arbitrary simple finite-dimensional complex Lie algebra $mathfrak{g}$ and positive integer levels $k$. Here we classify nondegenerate fusion subcategories of the modular tensor categories of local modules $mathcal{C}(mathfrak{g},k)_R^0$ where $R$ is the regular algebra of Tannakian $text{Rep}(H)subsetmathcal{C}(mathfrak{g},k)_text{pt}$. For $mathfrak{g}=mathfrak{so}_5$ we describe the decomposition of $mathcal{C}(mathfrak{g},k)_R^0$ into prime factors explicitly and as an application we classify relations in the Witt group of nondegenerately braided fusion categories generated by the equivalency classes of $mathcal{C}(mathfrak{so}_5,k)$ and $mathcal{C}(mathfrak{g}_2,k)$ for $kinmathbb{Z}_{geq1}$." @default.
• W2896651456 created "2018-10-26" @default.
• W2896651456 creator A5023226657 @default.
• W2896651456 date "2018-10-22" @default.
• W2896651456 modified "2023-09-27" @default.
• W2896651456 title "Prime decomposition of modular tensor categories of local modules of Type D." @default.
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• W2896651456 hasPublicationYear "2018" @default.
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