Abstract
New covariant nonlinear spinor wave equations associated with nonlinear spinor representations of pseudo-orthogonal groups are derived. The wave equations obtained possess specific nonlinearities, which, in the intrinsic spinor coordinates, have the form of bilinear nonlinearities. Due to the existence of a large number of natural constraints, typical for nonlinear spinor representations, the number of independent spinor components in the present theory is considerably reduced.
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