We present an algorithm for the explicit numerical calculation of SU(N) and

$\mbox{SL}(N,\mathbb {C})$
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).

Topics
Numerical algorithms, Selection rule, Abstract algebra, Lie algebras, Representation theory, Functions and mappings, Combinatorics, Clebsch-Gordan coefficients, Renormalization and regularization, Wigner-Eckart theorem
© 2011 American Institute of Physics.
2011
American Institute of Physics

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