Physics – Mathematical Physics
Scientific paper
2000-06-30
J.Phys.A33:8929-8951,2000
Physics
Mathematical Physics
25 pages, LaTeX
Scientific paper
10.1088/0305-4470/33/48/323
We give an explicit construction of the factorizing twists for the Yangian Y(sl_2) in evaluation representations (not necessarily finite-dimensional). The result is a universal expression for the factorizing twist that holds in all these representations. The method is general enough to recover the universal R-matrix of Y(sl_2) up to its character in the form specialized to generic evaluation representations. The method presented here is particularly amenable to generalizations because it involves only elementary operations applied to representations of the Yangian.
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