Abstract
The Lie algebra SO(5) has several applications in nuclear theory, involving its various subalgebra chains. In this contribution, the calculation of SO(5) coupling coefficients, reduced with respect to these different subalgebras, is discussed. It is shown that "Racah's method" for extracting coupling coefficients can be formulated generically for a subalgebra chain G ⊃ H, provided the reduced matrix elements of the generators of G and the recoupling coefficients of H are known. The calculation of SO(5) ⊃ SO(4) reduced coupling coefficients, for generic irreps, is considered as an example.
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