Reduction method for representations of queer Lie superalgebras

We develop a reduction procedure which provides an equivalence from an arbitrary block of the BGG category for the queer Lie superalgebra q(n) to a "Z ± s-weights" (s ∈ C) block of a BGG category for finite direct sum of queer Lie superalgebras. We give descriptions of blocks. We also establish equivalences between certain maximal parabolic subcategories for q(n) and blocks of atypicality-one of the category of finite-dimensional modules for gl(ℓ|n - ℓ).