Two boundary centralizer algebras for q(n)

We define the degenerate two boundary affine Hecke-Clifford algebra H d , and show it admits a well-defined q ( n ) -linear action on tensor space M ? N V where is natural module for are arbitrary modules Lie superalgebra of Type Q. When irreducible highest weight parameterized by staircase partition single row, respectively, this factors through quotient . then construct explicit quotient, p using combinatorial tools such as shifted tableaux Bratteli graph. These belong to family which we call calibrated. Using relations in also classify specific class calibrated modules. The summands coincide with construction, provide weak version Schur-Weyl type duality.