Transformation brackets between U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n)

Elena Santopinto, Roelof Bijker, Francesco Iachello

We derive a general expression for the transformation brackets between the chains U(n+1) -> U(n) -> SO(n) and U(n+1) -> SO(n+1) -> SO(n).