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A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients (1009.0437v2)
Published 2 Sep 2010 in math-ph, cond-mat.other, hep-th, math.MP, math.RT, and nucl-th
Abstract: We present an algorithm for the explicit numerical calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients, based on the Gelfand-Tsetlin pattern calculus. Our algorithm is well-suited for numerical implementation; we include a computer code in an appendix. Our exposition presumes only familiarity with the representation theory of SU(2).