Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups

Details Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups Decoupling of Translations from Homogeneous Transformations in Inhomogeneous Quantum Groups

2001-12-21

arxiv.org/abs/math/0112248v1

Mathematics

Quantum Algebra

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

Scientific paper

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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