A BGG-type resolution for tensor modules over general linear superalgebra
arXiv:0801.0914 · doi:10.1007/s11005-008-0231-1
Abstract
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.
11pages, LaTeX format