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• W2798738415 abstract "The main goal of this paper is to classify $ast$-module categories for the $SO(3)_{2m}$ modular tensor category. This is done by classifying $SO(3)_{2m}$ nimrep graphs and cell systems, and in the process we also classify the $SO(3)$ modular invariants. There are module categories of type $mathcal{A}$, $mathcal{E}$ and their conjugates, but there are no orbifold (or type $mathcal{D}$) module categories. We present a construction of a subfactor with principal graph given by the fusion rules of the fundamental generator of the $SO(3)_{2m}$ modular category. We also introduce a Frobenius algebra $A$ which is an $SO(3)$ generalisation of (higher) preprojective algebras, and derive a finite resolution of $A$ as a left $A$-module along with its Hilbert series." @default.
• W2798738415 created "2018-05-07" @default.
• W2798738415 creator A5004438646 @default.
• W2798738415 creator A5027001546 @default.
• W2798738415 date "2018-04-20" @default.
• W2798738415 modified "2023-09-27" @default.
• W2798738415 title "Classification of Module Categories for $SO(3)_{2m}$" @default.
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• W2798738415 hasPublicationYear "2018" @default.
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