t3_alias_tied_tucker_factors
============================

.. py:function:: t3toolbox.backend.geometry.t3_alias_tied_tucker_factors(tucker_cores, groups)

   .. code-block:: python

      def t3_alias_tied_tucker_factors(
              tucker_cores:  typ.Sequence[NDArray],            # len=d; tied within each group by VALUE
              groups:        typ.Tuple[typ.Tuple[int, ...], ...],  # canonical partition (canonical_groups)
      ) -> typ.Tuple[NDArray, ...]:                            # len=d; ONE array object shared per group


   Collapse each sharing group's Tucker factors to a **single array object**.

   The corewise additive retraction preserves tying by value (equal inputs plus equal updates give
   equal outputs), but leaves each group member holding its own equal-valued copy. Aliasing them to one
   object makes the tying structural rather than incidental -- so a downstream consumer that checks
   identity, or a `t3svd(sharing=...)`, sees one factor per group as the shared format intends.