The problem of symmetries within the redundant-variable method is revisited. Using physical conditions similar to those suggested by Bohr and Mottelson an appropriate symmetry subspace of the full space of the redundant-variable Hamiltonian has been constructed. Such a construction is a prerequisite condition for entering into any realistic calculation scheme.

PACS numbers: 21.10.--k, 21.60.--n, 21.60.Fw