  A new symplectic-based shell-model approach to clustering in atomic nuclei is
proposed by considering the simple system $^{20}$Ne. Its relation to the
collective excitations of this system is mentioned as well. The construction of
the Pauli allowed Hilbert space of the cluster states with maximal
permutational symmetry is given for the $^{16}$O+$^{4}$He $\rightarrow$
$^{20}$Ne channel in the case of one-component many-particle nuclear system.
The equivalence of the obtained cluster model space to that of the
semi-microscopic algebraic cluster model is demonstrated.
