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We study the conditions under which a non-standard Wigner class concerningdiscrete symmetries may arise for massive spin one-half states. The massdimension one fermionic states are shown \textcolor{red}{to} constituteexplicit examples. We also show how to conciliate these states with the currentcriticism due to the Lee and Wick, and Weinberg formulation.

Massive spin one-half one particle states for the mass dimension one fermions