1992/06/13 by Tetsuo Deguchi, Yasuhiro Akutsu
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #hep-th
paper · pdf · doi:10.1143/jpsj.62.19
39 pages, January 1992
arxiv created 1992/06/13 · openalex publication_date 1993/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present formulas for the Clebsch-Gordan coefficients and the Racah coefficients for the root of unity representations (N-dimensional representations with q2N=1) of Uq(sl(2)). We discuss colored vertex models and colored IRF (Interaction Round a Face) models from the color representations of Uq(sl(2)). We construct invariants of trivalent colored oriented framed graphs from color representations of Uq(sl(2)).