On universal solution to reflection equation

2002/10/16 by J. Donin, P. P. Kulish, A. I. Mudrov · 1 citation
Mathematics · #math.QA

paper · pdf

published as Lett.Math.Phys., V.63 (2003) #3 179-194 · 19 pages, AMS LaTeX

arxiv created 2002/10/16 · arxiv updated 2009/11/30

Abstract

For a given quasitriangular Hopf algebra \Ha we study relations between the braided group \Ha^* and Drinfeld's twist. We show that the braided bialgebra structure of \Ha^* is naturally described by means of twisted tensor powers of \Ha and their module algebras. We introduce universal solution to the reflection equation (RE) and deduce a fusion prescription for RE-matrices

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• Representation theory of the reflection equation algebra III: Classification of irreducible representations

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