Unbraiding transformations for braided tensor factors

Two quantum group covariant algebras A(1), A(2) can be embedded in a larger one through the so-called braided tenser product, whereby they do not comm ute with each other. We briefly report on our transformations of generators (8) which allow to express this braided tenser product algebra as an ordina ry tenser product algebra of A(1) with a subalgebra isomorphic to A(2) and commuting with A(1). The construction of the transformations is based on th e existence of a realization of H within A(1). We apply the results to the braided tenser product algebras of two or more quantum group covariant quan tum spaces or deformed Heisenberg algebras.