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Factorizing twists and R-matrices for representations of the quantum affine algebra U_q(hat sl_2) | | Hendryk Pfeiffer
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17 Nov 2000 | | Journal: | J. Phys. A: Math. Gen. 34 (2001) 1753-1770 | | Subject: | Mathematical Physics | math-ph math.MP | | Affiliation: | Cambridge | | Abstract: | We 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. | | Source: | arXiv, math-ph/0011029 | | Services: | Forum | Review | PDF | Favorites | |
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