2000/11/17 by Hendryk Pfeiffer
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Quantum Information and Cryptography #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/34/8/318
published as J. Phys. A: Math. Gen. 34 (2001) 1753-1770 · 19 pages, LaTeX
arxiv created 2000/11/17 · openalex publication_date 2001/02/19 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/30
We calculate factorizing twists in evaluation representations of the quantum affine algebra . From the factorizing twists we derive a representation-independent expression of the R -matrices of . Comparing with the corresponding quantities for the Yangian Y ( 2 ), it is shown that the results can be obtained by `replacing numbers by q -numbers'. Conversely, the limit q →1 exists in representations of and both the factorizing twists and the R -matrices of the Yangian Y ( 2 ) are recovered in this limit.