# On the decoupling of the homogeneous and inhomogeneous parts in inhomogeneous quantum groups

@article{Fiore2001OnTD, title={On the decoupling of the homogeneous and inhomogeneous parts in inhomogeneous quantum groups}, author={Gaetano Fiore}, journal={Journal of Physics A}, year={2001}, volume={35}, pages={657-678} }

We show that, if there exists a realization of a Hopf algebra H in a H-module algebra , then one can split their cross-product into the tensor product algebra of itself with a subalgebra isomorphic to H and commuting with . This result applies in particular to the algebra underlying inhomogeneous quantum groups like the Euclidean groups, which are obtained as cross-products of the quantum Euclidean spaces qN with the quantum groups of rotation Uq so(N) of qN, for which it has no classical… Expand

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