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We define the important concept of a braided tensor category due to Joyal and Street [JS93]. This concept has been introduced to formalize the char-acteristic properties of the tensor categories of modules over braided bial-gebras as well as the idea of crossing in link and tangle diagrams. After defining braided tensor categories, we show that braids form a braided ten-sor category that is universal in some precise sense. We also give the “centre construction” which is the categorical version of Drinfeld’s quantum dou-ble.
KeywordsBraid Group Tensor Category Tensor Functor Chapter XIII Braid Category
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