  Pinor and spinor fields are sections of the subbundles whose fibers are the
representation spaces of the Clifford algebra of the forms, equipped with the
Graf product. In this context, pinors and spinors are here considered and the
geometric generalized Fierz identities provide the necessary framework to
derive and construct new spinor classes on the space of smooth sections of the
exterior bundle, endowed with the Graf product, for prominent specific
signatures, whose applications are discussed.
