On factorizing twists for the Yangian and the quantum affine algebra |
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Authors: | Hendryk Pfeiffer |
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Affiliation: | (1) Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, CB3 0WA Cambridge, UK |
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Abstract: | We calculate explicit expressions for factorizing Drinfel’d twists in evaluation representations of the YangianY(sl2) and of the quantum affine algebraUq . From the twists we derive a closed and representation-independent form of theR-matrices in these representations. Employing a carefully chosen basis it is possible to recover the results for the Yangian (rational case) as theq → 1 limit of the expressions for the quantum affine algebra (trigonometric case). Presented at the 10th International Colloquium on Quantum Groups: “Quantum Groups and Integrable Systems”, Prague, 21–23 June 2001. |
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