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We describe the procedure of dimensional reduction of massless fields in$(D+1)$ dimensional Minkowski space to massive ones in $D$ dimensions in thefirst-quantized setting. The procedure is compatible with Lagrangian and in astraightforward way determines the inner product for massive fields. Howeduality and the extensive usage of BRST formalism allows to keep thedescription concise. We consider both bosonic and fermionic mixed-symmetryfields.

Lagrangian BRST formulation of massive higher spin fields of generic symmetry type