Algebra embedding of Uq(sl(2)) into the tensor product of two (q,h)-Weyl algebras

In this paper we study relations between different (q,h)(q,h)-Weyl algebras. We also show an embedding of the q  -deformed universal enveloping algebra Uq=Uq(sl(2))Uq=Uq(sl(2)) into a tensor product of two (q,h)(q,h)-Weyl algebras when q≠1q≠1. This allows us to study the limiting case q→1q→1 in the so-called structure ladder of UqUq.