Quantum Groups pp 314-338 | Cite as


Part of the Graduate Texts in Mathematics book series (GTM, volume 155)


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.


Braid Group Tensor Category Tensor Functor Chapter XIII Braid Category 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  1. 1.Institut de Recherche Mathématique AvancéeUniversité Louis Pasteur-C.N.R.S.StrasbourgFrance

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