A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients

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).

35 pages, 3 figures, 5 tables

References in corpus (4)

• From density-matrix renormalization group to matrix product states
• Tensor network decompositions in the presence of a global symmetry
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Density matrix numerical renormalization group for non-Abelian symmetries

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