Factorizing twists and R-matrices for representations of the quantum affine algebra Uq( sl2)
Abstract
We calculate factorizing twists in evaluation representations of the quantum affine algebra Uq( sl2). From the factorizing twists we derive a representation independent expression of the R-matrices of Uq( sl2). Comparing with the corresponding quantities for the Yangian Y(sl2), it is shown that the Uq( sl2) results can be obtained by `replacing numbers by q-numbers'. Conversely, the limit q -> 1 exists in representations of Uq( sl2) and both the factorizing twists and the R-matrices of the Yangian Y(sl2) are recovered in this limit.
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