The SO(7) polynomial basis for symmetric representations
Philippe De Wilde, Hans De Meyer, Greet Vanden Berghe · Journal of Mathematical Physics · 1983
A polynomial basis is derived for the symmetric irreducible representations of the group SO (7). The reduction of SO(7) into [SU(2)]3 is considered. The SO(7) generators not belonging to [SU(2)]3 are grouped into a bispinor vector, of which matrix elements are calculated. An explicit expression for the state vector is given.