Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups

Abstract

We briefly report on our result that, if there exists a realization of a Hopf algebra $H$ in a $H$-module algebra $A$, then their cross-product is equal to the product of $A$ itself with a subalgebra isomorphic to $H$ and commuting with $A$. We illustrate its application to the Euclidean quantum groups in $N\ge 3$ dimensions.

Latex file, 8 pages. Talk given at the 2nd International Symposium on "Quantum Theory and Symmetries", July 2001, Krakow, Poland