Decoupling Braided Tensor Factors
Abstract
We briefly report on our result that the braided tensor product algebra of two module algebras A1,A2 of a quasitriangular Hopf algebra H is equal to the ordinary tensor product algebra of H1 with a subalgebra isomorphic to A2 and commuting with A1, provided there exists a realization of H within A1. As applications of the theorem we consider the braided tensor product algebras of two or more quantum group covariant quantum spaces or deformed Heisenberg algebras.
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