Abstract
We prove that if U ℏ ( g ) is a quasitriangular QUE algebra with universal R -matrix R , and O ℏ (G ∗ ) is the quantized function algebra sitting inside U ℏ ( g ) , then ℏlog( R ) belongs to the tensor square O ℏ (G ∗ ) ⊗ ̄ O ℏ (G ∗ ) . This gives another proof of the results of Gavarini and Halbout, saying that R normalizes O ℏ (G ∗ ) ⊗ ̄ O ℏ (G ∗ ) and therefore induces a braiding of the formal group G ∗ (in the sense of Weinstein and Xu, or Reshetikhin).
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