  We analyze a wave function of a tensor model in the canonical formalism, when
the argument of the wave function takes Lie group invariant or nearby values.
Numerical computations show that there are two phases, which we call the
quantum and the classical phases, respectively. In the classical phase,
fluctuations are suppressed, and there emerge configurations which are
discretizations of the classical geometric spaces invariant under the Lie group
symmetries. This is explicitly demonstrated for the emergence of $S^n\
(n=1,2,3)$ for $SO(n+1)$ symmetries by checking the topological and the
geometric (Laplacian) properties of the emerging configurations. The transition
between the two phases has the form of splitting/merging of distributions of
variables, resembling a matrix model counterpart, namely, the transition
between one-cut and two-cut solutions. However this resemblance is obscured by
a difference of the mechanism of the distribution in our setup from that in the
matrix model. We also discuss this transition as a replica symmetry breaking.
We perform various preliminary studies of the properties of the phases and the
transition for such values of the argument.
