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Quantum Groups pp 368-382 | Cite as

Quasi-Bialgebras

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

Abstract

The aim of this chapter is to present Drinfeld’s concepts of (braided) quasi-bialgebra and of gauge transformation. These concepts will be needed to express the main results of Part IV. The definitions given here are based on the formalism of tensor categories and tensor functors introduced in Chapters XI and XIII. In Section 4 we construct braid group representa-tions for any braided quasi-bialgebra and we show that equivalent braided quasi-bialgebras give rise to equivalent representations.

Keywords

Gauge Transformation Hopf Algebra Braid Group Invertible Element Tensor 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.

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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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