Factorizing twists and R-matrices for representations of the quantum affine algebra U_q(\hat sl_2)

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dc.creatorPfeiffer, Hendryk
dc.date2000-11-17
dc.date.accessioned2026-07-07T07:56:14Z
dc.date.available2026-07-07T07:56:14Z
dc.descriptionWe calculate factorizing twists in evaluation representations of the quantum affine algebra U_q(\hat sl_2). From the factorizing twists we derive a representation independent expression of the R-matrices of U_q(\hat sl_2). Comparing with the corresponding quantities for the Yangian Y(sl_2), it is shown that the U_q(\hat sl_2) results can be obtained by `replacing numbers by q-numbers'. Conversely, the limit q -> 1 exists in representations of U_q(\hat sl_2) and both the factorizing twists and the R-matrices of the Yangian Y(sl_2) are recovered in this limit.
dc.description19 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0011029
dc.identifierhttp://arxiv.org/abs/math-ph/0011029
dc.identifierJ. Phys. A: Math. Gen. 34 (2001) 1753-1770
dc.identifierdoi:10.1088/0305-4470/34/8/318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127235
dc.subjectMathematical Physics
dc.titleFactorizing twists and R-matrices for representations of the quantum affine algebra U_q(\hat sl_2)
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