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The details of Lagrangian description of irreducible integer higher-spinrepresentations of the Poincare group with an Young tableaux$Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particlespropagated on an arbitrary dimensional Minkowski space-time. The procedure isbased, first, on using of an auxiliary Fock space generated by Fermioscillators (antisymmetric basis), second, on construction of the Verma moduleand finding auxiliary oscillator realization for $sl(2)\oplus sl(2)$ algebrawhich encodes the second-class operator constraints subsystem in the HSsymmetry superalgebra. Application of an BRST-BFV receipt permits to reproducegauge-invariant Lagrangians with reducible gauge symmetries describing the freedynamics of both massless and massive mixed-antisymmetric bosonic fields of anyspin with appropriate number of gauge and Stueckelberg fields. The generalprescription possesses by the possibility to derive constrained Lagrangianswith only BRST-invariant extended algebraic constraints which describes thePoincare group irreducible representations in terms of mixed-antisymmetrictensor fields with 2 group indices.

BRST-BFV Lagrangian Formulations for Higher Spin Fields subject to two-column Young Tableaux