  We study the algebraic properties of plethystic vertex operators, introduced
in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of
symmetric functions associated with certain generalized universal character
rings of subgroups of the general linear group, defined to stabilize tensors of
Young symmetry type characterized by a partition of arbitrary shape \pi. Here
we establish an extension of the well-known boson-fermion correspondence
involving Schur functions and their associated (Bernstein) vertex operators:
for each \pi, the modes generated by the plethystic vertex operators and their
suitably constructed duals, satisfy the anticommutation relations of a complex
Clifford algebra. The combinatorial manipulations underlying the results
involve exchange identities exploiting the Hopf-algebraic structure of certain
symmetric function series and their plethysms.
