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The Drinfeld center of a monoidal category, which is a braided monoidal category.
2
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Representations of $D(G)$ as an object in the center of $\operatorname{Rep}(G)$
This is my study note that spells out @Adrien 's answer to 1) and 2). As suggested by @Adrien, we will follow Kassel's Quantum Groups, mainly chapter XIII.5. It is a very detailed account.
Explicit e …
7
votes
3
answers
636
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Representations of $D(G)$ as an object in the center of $\operatorname{Rep}(G)$
Let $G$ be a finite group and $D(G)$ its quantum double. As in my previous question, a typical irreducible representation (finite dimensional over $\mathbb{C}$) is labeled by $(\theta,\pi)$, where $\t …