A formula is proposed which expresses free fermion fields in 2K dimens
ions in terms of the Cartan currents of the free fermion current algeb
ra. This leads, in an obvious manner, to a vertex operator constructio
n of non-Abelian free fermion current algebras in arbitrary even dimen
sions. It is conjectured that these ideas may generalize to a wide cla
ss of conformal held theories.