Advertisement

Quantum Groups pp 314-338 | Cite as

Braidings

Chapter
  • 3.7k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 155)

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.

Keywords

Braid Group Tensor Category Tensor Functor Chapter XIII Braid Category 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations