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We apply the BRST approach, developed for higher spin field theories, toLagrangian construction for totally antisymmetric massive fermionic fields inAdS_d space. As well as generic higher spin massive theories, the obtainedLagrangian theory is a reducible gauge model containing, besides the basicfield, a number of auxiliary (Stuckelberg) fields and the order of reducibilitygrows with the value of the rank of the antisymmetric field. However, unlikethe generic higher spin theory, for the special case under consideration weshow that one can get rid of all the auxiliary fields and the final Lagrangianfor fermionic antisymmetric field is formulated only in terms of basic field.

Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space