Braided chains of q-deformed Heisenberg algebras

Given M copies of a q-deformed Weyl or Clifford algebra in the defining representation of a quantum group , we determine a prescription to embed them into a unique, inclusive -covariant algebra. The different copies are `coupled' to each other and are naturally ordered into a `chain'. In the case a modified prescription yields an inclusive algebra which is even explicitly -covariant, where is a symmetry relating the different copies. By the introduction of these inclusive algebras we significantly enlarge the class of -covariant deformed Weyl/Clifford algebras available for physical applications.