%0 Journal Article %T Reality of non-Fock Spinors %A Esther Galina %A Aroldo Kaplan %A Linda Saal %J Mathematics %D 2003 %I arXiv %X The infinite dimensional Clifford Algebra has a maze of irreducible unitary representations. Here we determine their type -real, complex or quaternionic. Some, related to the Fermi-Fock representations, have no real or quetrnionic structures. But there are many on L(2) of the circle that do and which seem to have analytic meaning. %U http://arxiv.org/abs/math/0301263v2