Abstract

In this paper, we show that the field of fractions of certain algebras appearing in the theory of quantum groups are isomorphic to the field of fractions of quantum n-space when the parameter q is not a root of 1; more precisely, the quantum Serre relations of type A n and the relations defining the quantum Weyl algebra induce q-communtation relations in the field of fractions. Also, we study the problem of separation of these skew fields using the standard embeddings in non commutative series.

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