A BGG-type resolution for tensor modules over general linear   superalgebra
  We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector. 
Shun-Jen Cheng, Jae-Hoon Kwon, Ngau Lam