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Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups

Gaetano Fiore
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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.

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Gaetano Fiore. 2001-12-21. Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups. https://doi.org/10.1142/9789812777850_0038

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