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We study an extension of the symplectic formalism in order to quantizereducible systems. We show that a procedure like {\it ghost-of-ghost} of theBFV method can be applied in terms of Lagrange multipliers. We use thedeveloped formalism to quantize the antisymmetric Abelian gauge fields.Comment: 12 pages, IF-UFRJ-22/9

SYMPLECTIC QUANTIZATION OF A REDUCIBLE THEORY