We extend the notion of self-duality to spaces built from a set of representations of the Lorentz group with bosonic or fermionic behavior, not having the traditional spin-one upper-bound of super Minkowski space. The generalized derivative vector fields on such superspace are assumed to form a superalgebra. Introducing corresponding gauge potentials and hence covariant derivatives and curvatures, we define generalized self-duality as the Lorentz covariant vanishing of certain irreducible parts of the curvatures. (author). 4 refs. (Atomindex citation 28:028833)
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