Journal of Mathematical Physics

Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations

Masao Nomura

Published Oct 1, 1989• 84 citations

Abstract

Relations are exploited among Clebsch–Gordan (CG) and Racah coefficients in the algebra suq(2), known as a deformation of su(2). These are used to show that the Yang–Baxter (YB) relation for the IRF (interaction round a face) model results from one of the symmetry relations for the 9-j symbol specific to suq(2), and that in an asymptotic limit this YB relation becomes the YB relation for the two-dimensional vertex model. The Racah coefficient, which has a particularly simple dependence on q, is efficiently used such that an asymptotic limit of the Racah coefficient is the CG coefficient and another limit gives the factorized S matrix of the vertex model.

DOI: 10.1063/1.528612

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