Abstract
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.
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© 1995 Springer Science+Business Media New York
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Kassel, C. (1995). Braidings. In: Quantum Groups. Graduate Texts in Mathematics, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0783-2_13
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DOI: https://doi.org/10.1007/978-1-4612-0783-2_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6900-7
Online ISBN: 978-1-4612-0783-2
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