  The operator spaces $H_n^k$ $1\le k\le n$, generalizing the row and column
Hilbert spaces, and arising in the authors' previous study of contractively
complemented subspaces of $C^*$-algebras, are shown to be homogeneous and
completely isometric to a space of creation operators on a subspace of the
anti-symmetric Fock space. The completely bounded Banach-Mazur distance from
$H_n^k$ to row or column space is explicitly calculated.
